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Finding the Fourth Proportional to 1,354.64, 2,032.32 and 489.68

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Solution

The fourth proportional to 1,354.64, 2,032.32 and 489.68 is: 734.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,354.64 : 2,032.32 = 489.68 : x
  2. Step 2: Convert to fraction form
    1,354.64/2,032.32 = 489.68/x
  3. Step 3: Cross multiply
    1,354.64x = 2,032.32 × 489.68
  4. Step 4: Simplify right side
    1,354.64x = 995,186.46
  5. Step 5: Solve for x
    x = 995,186.46/1,354.64
  6. Step 6: Final answer
    x = 734.65

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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.