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Finding the Fourth Proportional to 1,598.59, 2,398.11 and 558.70

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Solution

The fourth proportional to 1,598.59, 2,398.11 and 558.70 is: 838.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,598.59 : 2,398.11 = 558.70 : x
  2. Step 2: Convert to fraction form
    1,598.59/2,398.11 = 558.70/x
  3. Step 3: Cross multiply
    1,598.59x = 2,398.11 × 558.70
  4. Step 4: Simplify right side
    1,598.59x = 1,339,815.97
  5. Step 5: Solve for x
    x = 1,339,815.97/1,598.59
  6. Step 6: Final answer
    x = 838.13

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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.