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Finding the Fourth Proportional to 1,598.10, 2,396.31 and 502.17

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Solution

The fourth proportional to 1,598.10, 2,396.31 and 502.17 is: 752.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,598.10 : 2,396.31 = 502.17 : x
  2. Step 2: Convert to fraction form
    1,598.10/2,396.31 = 502.17/x
  3. Step 3: Cross multiply
    1,598.10x = 2,396.31 × 502.17
  4. Step 4: Simplify right side
    1,598.10x = 1,203,354.99
  5. Step 5: Solve for x
    x = 1,203,354.99/1,598.10
  6. Step 6: Final answer
    x = 752.99

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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.