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Finding the Fourth Proportional to 742.41, 1,024.40 and 476.91

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Solution

The fourth proportional to 742.41, 1,024.40 and 476.91 is: 658.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    742.41 : 1,024.40 = 476.91 : x
  2. Step 2: Convert to fraction form
    742.41/1,024.40 = 476.91/x
  3. Step 3: Cross multiply
    742.41x = 1,024.40 × 476.91
  4. Step 4: Simplify right side
    742.41x = 488,547.80
  5. Step 5: Solve for x
    x = 488,547.80/742.41
  6. Step 6: Final answer
    x = 658.06

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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.