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Finding the Fourth Proportional to 1,499.25, 2,068.96 and 869.90

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Solution

The fourth proportional to 1,499.25, 2,068.96 and 869.90 is: 1,200.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,499.25 : 2,068.96 = 869.90 : x
  2. Step 2: Convert to fraction form
    1,499.25/2,068.96 = 869.90/x
  3. Step 3: Cross multiply
    1,499.25x = 2,068.96 × 869.90
  4. Step 4: Simplify right side
    1,499.25x = 1,799,788.30
  5. Step 5: Solve for x
    x = 1,799,788.30/1,499.25
  6. Step 6: Final answer
    x = 1,200.46

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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.