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Finding the Fourth Proportional to 1,598.49, 2,397.99 and 558.78

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Solution

The fourth proportional to 1,598.49, 2,397.99 and 558.78 is: 838.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,598.49 : 2,397.99 = 558.78 : x
  2. Step 2: Convert to fraction form
    1,598.49/2,397.99 = 558.78/x
  3. Step 3: Cross multiply
    1,598.49x = 2,397.99 × 558.78
  4. Step 4: Simplify right side
    1,598.49x = 1,339,948.85
  5. Step 5: Solve for x
    x = 1,339,948.85/1,598.49
  6. Step 6: Final answer
    x = 838.26

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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.