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Finding the Fourth Proportional to 738.20, 1,099.96 and 710.30

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Solution

The fourth proportional to 738.20, 1,099.96 and 710.30 is: 1,058.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    738.20 : 1,099.96 = 710.30 : x
  2. Step 2: Convert to fraction form
    738.20/1,099.96 = 710.30/x
  3. Step 3: Cross multiply
    738.20x = 1,099.96 × 710.30
  4. Step 4: Simplify right side
    738.20x = 781,301.59
  5. Step 5: Solve for x
    x = 781,301.59/738.20
  6. Step 6: Final answer
    x = 1,058.39

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.