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Finding the Fourth Proportional to 1,306.56, 1,959.84 and 537.12

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Solution

The fourth proportional to 1,306.56, 1,959.84 and 537.12 is: 805.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,306.56 : 1,959.84 = 537.12 : x
  2. Step 2: Convert to fraction form
    1,306.56/1,959.84 = 537.12/x
  3. Step 3: Cross multiply
    1,306.56x = 1,959.84 × 537.12
  4. Step 4: Simplify right side
    1,306.56x = 1,052,669.26
  5. Step 5: Solve for x
    x = 1,052,669.26/1,306.56
  6. Step 6: Final answer
    x = 805.68

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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.