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Finding the Fourth Proportional to 1,499.52, 2,068.79 and 869.70

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Solution

The fourth proportional to 1,499.52, 2,068.79 and 869.70 is: 1,199.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,499.52 : 2,068.79 = 869.70 : x
  2. Step 2: Convert to fraction form
    1,499.52/2,068.79 = 869.70/x
  3. Step 3: Cross multiply
    1,499.52x = 2,068.79 × 869.70
  4. Step 4: Simplify right side
    1,499.52x = 1,799,211.97
  5. Step 5: Solve for x
    x = 1,799,211.97/1,499.52
  6. Step 6: Final answer
    x = 1,199.86

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.