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Finding the Fourth Proportional to 1,598.49, 2,397.04 and 558.18

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Solution

The fourth proportional to 1,598.49, 2,397.04 and 558.18 is: 837.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,598.49 : 2,397.04 = 558.18 : x
  2. Step 2: Convert to fraction form
    1,598.49/2,397.04 = 558.18/x
  3. Step 3: Cross multiply
    1,598.49x = 2,397.04 × 558.18
  4. Step 4: Simplify right side
    1,598.49x = 1,337,967.80
  5. Step 5: Solve for x
    x = 1,337,967.80/1,598.49
  6. Step 6: Final answer
    x = 837.02

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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.