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Finding the Fourth Proportional to 1,105.03, 1,524.90 and 607.64

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Solution

The fourth proportional to 1,105.03, 1,524.90 and 607.64 is: 838.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,105.03 : 1,524.90 = 607.64 : x
  2. Step 2: Convert to fraction form
    1,105.03/1,524.90 = 607.64/x
  3. Step 3: Cross multiply
    1,105.03x = 1,524.90 × 607.64
  4. Step 4: Simplify right side
    1,105.03x = 926,588.33
  5. Step 5: Solve for x
    x = 926,588.33/1,105.03
  6. Step 6: Final answer
    x = 838.52

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Double scale
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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.