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Finding the Fourth Proportional to 1,598.78, 2,397.86 and 558.59

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Solution

The fourth proportional to 1,598.78, 2,397.86 and 558.59 is: 837.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,598.78 : 2,397.86 = 558.59 : x
  2. Step 2: Convert to fraction form
    1,598.78/2,397.86 = 558.59/x
  3. Step 3: Cross multiply
    1,598.78x = 2,397.86 × 558.59
  4. Step 4: Simplify right side
    1,598.78x = 1,339,410.02
  5. Step 5: Solve for x
    x = 1,339,410.02/1,598.78
  6. Step 6: Final answer
    x = 837.77

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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.