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Finding the Fourth Proportional to 1,060.54, 1,591.29 and 483.58

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Solution

The fourth proportional to 1,060.54, 1,591.29 and 483.58 is: 725.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,060.54 : 1,591.29 = 483.58 : x
  2. Step 2: Convert to fraction form
    1,060.54/1,591.29 = 483.58/x
  3. Step 3: Cross multiply
    1,060.54x = 1,591.29 × 483.58
  4. Step 4: Simplify right side
    1,060.54x = 769,516.02
  5. Step 5: Solve for x
    x = 769,516.02/1,060.54
  6. Step 6: Final answer
    x = 725.59

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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.