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Finding the Fourth Proportional to 1,537.76, 2,306.15 and 660.02

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Solution

The fourth proportional to 1,537.76, 2,306.15 and 660.02 is: 989.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,537.76 : 2,306.15 = 660.02 : x
  2. Step 2: Convert to fraction form
    1,537.76/2,306.15 = 660.02/x
  3. Step 3: Cross multiply
    1,537.76x = 2,306.15 × 660.02
  4. Step 4: Simplify right side
    1,537.76x = 1,522,110.37
  5. Step 5: Solve for x
    x = 1,522,110.37/1,537.76
  6. Step 6: Final answer
    x = 989.82

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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.