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Finding the Fourth Proportional to 1,283.31, 1,924.83 and 503.15

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Solution

The fourth proportional to 1,283.31, 1,924.83 and 503.15 is: 754.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,283.31 : 1,924.83 = 503.15 : x
  2. Step 2: Convert to fraction form
    1,283.31/1,924.83 = 503.15/x
  3. Step 3: Cross multiply
    1,283.31x = 1,924.83 × 503.15
  4. Step 4: Simplify right side
    1,283.31x = 968,468.59
  5. Step 5: Solve for x
    x = 968,468.59/1,283.31
  6. Step 6: Final answer
    x = 754.66

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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.