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Finding the Fourth Proportional to 1,321.40, 1,981.38 and 500.24

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Solution

The fourth proportional to 1,321.40, 1,981.38 and 500.24 is: 750.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,321.40 : 1,981.38 = 500.24 : x
  2. Step 2: Convert to fraction form
    1,321.40/1,981.38 = 500.24/x
  3. Step 3: Cross multiply
    1,321.40x = 1,981.38 × 500.24
  4. Step 4: Simplify right side
    1,321.40x = 991,165.53
  5. Step 5: Solve for x
    x = 991,165.53/1,321.40
  6. Step 6: Final answer
    x = 750.09

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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.