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Finding the Fourth Proportional to 1,053.73, 1,580.32 and 724.60

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Solution

The fourth proportional to 1,053.73, 1,580.32 and 724.60 is: 1,086.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,053.73 : 1,580.32 = 724.60 : x
  2. Step 2: Convert to fraction form
    1,053.73/1,580.32 = 724.60/x
  3. Step 3: Cross multiply
    1,053.73x = 1,580.32 × 724.60
  4. Step 4: Simplify right side
    1,053.73x = 1,145,096.83
  5. Step 5: Solve for x
    x = 1,145,096.83/1,053.73
  6. Step 6: Final answer
    x = 1,086.71

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Why These Related Problems?

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