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Finding the Fourth Proportional to 823.03, 1,134.14 and 598.20

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Solution

The fourth proportional to 823.03, 1,134.14 and 598.20 is: 824.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    823.03 : 1,134.14 = 598.20 : x
  2. Step 2: Convert to fraction form
    823.03/1,134.14 = 598.20/x
  3. Step 3: Cross multiply
    823.03x = 1,134.14 × 598.20
  4. Step 4: Simplify right side
    823.03x = 678,435.30
  5. Step 5: Solve for x
    x = 678,435.30/823.03
  6. Step 6: Final answer
    x = 824.32

Related Problems

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Half scale
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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.