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Finding the Fourth Proportional to 1,499.23, 2,248.58 and 677.31

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Solution

The fourth proportional to 1,499.23, 2,248.58 and 677.31 is: 1,015.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,499.23 : 2,248.58 = 677.31 : x
  2. Step 2: Convert to fraction form
    1,499.23/2,248.58 = 677.31/x
  3. Step 3: Cross multiply
    1,499.23x = 2,248.58 × 677.31
  4. Step 4: Simplify right side
    1,499.23x = 1,522,985.72
  5. Step 5: Solve for x
    x = 1,522,985.72/1,499.23
  6. Step 6: Final answer
    x = 1,015.85

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.