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Finding the Fourth Proportional to 1,306.68, 1,959.54 and 537.24

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Solution

The fourth proportional to 1,306.68, 1,959.54 and 537.24 is: 805.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,306.68 : 1,959.54 = 537.24 : x
  2. Step 2: Convert to fraction form
    1,306.68/1,959.54 = 537.24/x
  3. Step 3: Cross multiply
    1,306.68x = 1,959.54 × 537.24
  4. Step 4: Simplify right side
    1,306.68x = 1,052,743.27
  5. Step 5: Solve for x
    x = 1,052,743.27/1,306.68
  6. Step 6: Final answer
    x = 805.66

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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.