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Finding the Fourth Proportional to 1,155.92, 1,734.32 and 425.57

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Solution

The fourth proportional to 1,155.92, 1,734.32 and 425.57 is: 638.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,155.92 : 1,734.32 = 425.57 : x
  2. Step 2: Convert to fraction form
    1,155.92/1,734.32 = 425.57/x
  3. Step 3: Cross multiply
    1,155.92x = 1,734.32 × 425.57
  4. Step 4: Simplify right side
    1,155.92x = 738,066.95
  5. Step 5: Solve for x
    x = 738,066.95/1,155.92
  6. Step 6: Final answer
    x = 638.51

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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.