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Finding the Fourth Proportional to 1,032.37, 1,545.78 and 620.92

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Solution

The fourth proportional to 1,032.37, 1,545.78 and 620.92 is: 929.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,032.37 : 1,545.78 = 620.92 : x
  2. Step 2: Convert to fraction form
    1,032.37/1,545.78 = 620.92/x
  3. Step 3: Cross multiply
    1,032.37x = 1,545.78 × 620.92
  4. Step 4: Simplify right side
    1,032.37x = 959,805.72
  5. Step 5: Solve for x
    x = 959,805.72/1,032.37
  6. Step 6: Final answer
    x = 929.71

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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.