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Finding the Fourth Proportional to 1,060.93, 1,591.53 and 411.58

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Solution

The fourth proportional to 1,060.93, 1,591.53 and 411.58 is: 617.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,060.93 : 1,591.53 = 411.58 : x
  2. Step 2: Convert to fraction form
    1,060.93/1,591.53 = 411.58/x
  3. Step 3: Cross multiply
    1,060.93x = 1,591.53 × 411.58
  4. Step 4: Simplify right side
    1,060.93x = 655,031.90
  5. Step 5: Solve for x
    x = 655,031.90/1,060.93
  6. Step 6: Final answer
    x = 617.42

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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.