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Finding the Fourth Proportional to 829.20, 1,144.13 and 475.14

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Solution

The fourth proportional to 829.20, 1,144.13 and 475.14 is: 655.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    829.20 : 1,144.13 = 475.14 : x
  2. Step 2: Convert to fraction form
    829.20/1,144.13 = 475.14/x
  3. Step 3: Cross multiply
    829.20x = 1,144.13 × 475.14
  4. Step 4: Simplify right side
    829.20x = 543,619.55
  5. Step 5: Solve for x
    x = 543,619.55/829.20
  6. Step 6: Final answer
    x = 655.60

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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.