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Finding the Fourth Proportional to 1,162.52, 1,743.51 and 546.65

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Solution

The fourth proportional to 1,162.52, 1,743.51 and 546.65 is: 819.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,162.52 : 1,743.51 = 546.65 : x
  2. Step 2: Convert to fraction form
    1,162.52/1,743.51 = 546.65/x
  3. Step 3: Cross multiply
    1,162.52x = 1,743.51 × 546.65
  4. Step 4: Simplify right side
    1,162.52x = 953,089.74
  5. Step 5: Solve for x
    x = 953,089.74/1,162.52
  6. Step 6: Final answer
    x = 819.85

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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.