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Finding the Fourth Proportional to 683.16, 1,024.20 and 477.15

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Solution

The fourth proportional to 683.16, 1,024.20 and 477.15 is: 715.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    683.16 : 1,024.20 = 477.15 : x
  2. Step 2: Convert to fraction form
    683.16/1,024.20 = 477.15/x
  3. Step 3: Cross multiply
    683.16x = 1,024.20 × 477.15
  4. Step 4: Simplify right side
    683.16x = 488,697.03
  5. Step 5: Solve for x
    x = 488,697.03/683.16
  6. Step 6: Final answer
    x = 715.35

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.