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Finding the Fourth Proportional to 1,062.34, 1,591.44 and 598.70

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Solution

The fourth proportional to 1,062.34, 1,591.44 and 598.70 is: 896.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,062.34 : 1,591.44 = 598.70 : x
  2. Step 2: Convert to fraction form
    1,062.34/1,591.44 = 598.70/x
  3. Step 3: Cross multiply
    1,062.34x = 1,591.44 × 598.70
  4. Step 4: Simplify right side
    1,062.34x = 952,795.13
  5. Step 5: Solve for x
    x = 952,795.13/1,062.34
  6. Step 6: Final answer
    x = 896.88

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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.