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Finding the Fourth Proportional to 1,125.61, 1,689.25 and 540.95

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Solution

The fourth proportional to 1,125.61, 1,689.25 and 540.95 is: 811.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,125.61 : 1,689.25 = 540.95 : x
  2. Step 2: Convert to fraction form
    1,125.61/1,689.25 = 540.95/x
  3. Step 3: Cross multiply
    1,125.61x = 1,689.25 × 540.95
  4. Step 4: Simplify right side
    1,125.61x = 913,806.02
  5. Step 5: Solve for x
    x = 913,806.02/1,125.61
  6. Step 6: Final answer
    x = 811.83

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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.