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Finding the Fourth Proportional to 1,598.24, 2,396.67 and 557.93

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Solution

The fourth proportional to 1,598.24, 2,396.67 and 557.93 is: 836.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,598.24 : 2,396.67 = 557.93 : x
  2. Step 2: Convert to fraction form
    1,598.24/2,396.67 = 557.93/x
  3. Step 3: Cross multiply
    1,598.24x = 2,396.67 × 557.93
  4. Step 4: Simplify right side
    1,598.24x = 1,337,160.02
  5. Step 5: Solve for x
    x = 1,337,160.02/1,598.24
  6. Step 6: Final answer
    x = 836.65

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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.