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Finding the Fourth Proportional to 775.05, 1,070.15 and 542.49

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Solution

The fourth proportional to 775.05, 1,070.15 and 542.49 is: 749.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    775.05 : 1,070.15 = 542.49 : x
  2. Step 2: Convert to fraction form
    775.05/1,070.15 = 542.49/x
  3. Step 3: Cross multiply
    775.05x = 1,070.15 × 542.49
  4. Step 4: Simplify right side
    775.05x = 580,542.96
  5. Step 5: Solve for x
    x = 580,542.96/775.05
  6. Step 6: Final answer
    x = 749.04

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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.