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Finding the Fourth Proportional to 742.86, 1,024.94 and 463.22

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Solution

The fourth proportional to 742.86, 1,024.94 and 463.22 is: 639.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    742.86 : 1,024.94 = 463.22 : x
  2. Step 2: Convert to fraction form
    742.86/1,024.94 = 463.22/x
  3. Step 3: Cross multiply
    742.86x = 1,024.94 × 463.22
  4. Step 4: Simplify right side
    742.86x = 474,772.71
  5. Step 5: Solve for x
    x = 474,772.71/742.86
  6. Step 6: Final answer
    x = 639.11

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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.