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Finding the Fourth Proportional to 683.04, 1,024.53 and 477

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Solution

The fourth proportional to 683.04, 1,024.53 and 477 is: 715.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    683.04 : 1,024.53 = 477 : x
  2. Step 2: Convert to fraction form
    683.04/1,024.53 = 477/x
  3. Step 3: Cross multiply
    683.04x = 1,024.53 × 477
  4. Step 4: Simplify right side
    683.04x = 488,700.81
  5. Step 5: Solve for x
    x = 488,700.81/683.04
  6. Step 6: Final answer
    x = 715.48

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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.