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Finding the Fourth Proportional to 938.29, 1,295.01 and 545.32

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Solution

The fourth proportional to 938.29, 1,295.01 and 545.32 is: 752.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    938.29 : 1,295.01 = 545.32 : x
  2. Step 2: Convert to fraction form
    938.29/1,295.01 = 545.32/x
  3. Step 3: Cross multiply
    938.29x = 1,295.01 × 545.32
  4. Step 4: Simplify right side
    938.29x = 706,194.85
  5. Step 5: Solve for x
    x = 706,194.85/938.29
  6. Step 6: Final answer
    x = 752.64

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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.