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Finding the Fourth Proportional to 1,428.31, 2,142.60 and 503.77

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Solution

The fourth proportional to 1,428.31, 2,142.60 and 503.77 is: 755.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,428.31 : 2,142.60 = 503.77 : x
  2. Step 2: Convert to fraction form
    1,428.31/2,142.60 = 503.77/x
  3. Step 3: Cross multiply
    1,428.31x = 2,142.60 × 503.77
  4. Step 4: Simplify right side
    1,428.31x = 1,079,377.60
  5. Step 5: Solve for x
    x = 1,079,377.60/1,428.31
  6. Step 6: Final answer
    x = 755.70

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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.