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Finding the Fourth Proportional to 1,354.76, 2,032.14 and 489.14

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Solution

The fourth proportional to 1,354.76, 2,032.14 and 489.14 is: 733.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,354.76 : 2,032.14 = 489.14 : x
  2. Step 2: Convert to fraction form
    1,354.76/2,032.14 = 489.14/x
  3. Step 3: Cross multiply
    1,354.76x = 2,032.14 × 489.14
  4. Step 4: Simplify right side
    1,354.76x = 994,000.96
  5. Step 5: Solve for x
    x = 994,000.96/1,354.76
  6. Step 6: Final answer
    x = 733.71

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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.