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Finding the Fourth Proportional to 1,598.14, 2,397.42 and 557.99

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Solution

The fourth proportional to 1,598.14, 2,397.42 and 557.99 is: 837.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,598.14 : 2,397.42 = 557.99 : x
  2. Step 2: Convert to fraction form
    1,598.14/2,397.42 = 557.99/x
  3. Step 3: Cross multiply
    1,598.14x = 2,397.42 × 557.99
  4. Step 4: Simplify right side
    1,598.14x = 1,337,724.40
  5. Step 5: Solve for x
    x = 1,337,724.40/1,598.14
  6. Step 6: Final answer
    x = 837.05

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.