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Finding the Fourth Proportional to 747.84, 1,032.06 and 411.76

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Solution

The fourth proportional to 747.84, 1,032.06 and 411.76 is: 568.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    747.84 : 1,032.06 = 411.76 : x
  2. Step 2: Convert to fraction form
    747.84/1,032.06 = 411.76/x
  3. Step 3: Cross multiply
    747.84x = 1,032.06 × 411.76
  4. Step 4: Simplify right side
    747.84x = 424,961.03
  5. Step 5: Solve for x
    x = 424,961.03/747.84
  6. Step 6: Final answer
    x = 568.25

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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.