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Finding the Fourth Proportional to 1,059.52, 1,589.60 and 511.74

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Solution

The fourth proportional to 1,059.52, 1,589.60 and 511.74 is: 767.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,059.52 : 1,589.60 = 511.74 : x
  2. Step 2: Convert to fraction form
    1,059.52/1,589.60 = 511.74/x
  3. Step 3: Cross multiply
    1,059.52x = 1,589.60 × 511.74
  4. Step 4: Simplify right side
    1,059.52x = 813,461.90
  5. Step 5: Solve for x
    x = 813,461.90/1,059.52
  6. Step 6: Final answer
    x = 767.76

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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.