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Finding the Fourth Proportional to 738.25, 1,105.42 and 591.31

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Solution

The fourth proportional to 738.25, 1,105.42 and 591.31 is: 885.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    738.25 : 1,105.42 = 591.31 : x
  2. Step 2: Convert to fraction form
    738.25/1,105.42 = 591.31/x
  3. Step 3: Cross multiply
    738.25x = 1,105.42 × 591.31
  4. Step 4: Simplify right side
    738.25x = 653,642.94
  5. Step 5: Solve for x
    x = 653,642.94/738.25
  6. Step 6: Final answer
    x = 885.40

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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.