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Finding the Fourth Proportional to 1,597.80, 2,396.68 and 502.24

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Solution

The fourth proportional to 1,597.80, 2,396.68 and 502.24 is: 753.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,597.80 : 2,396.68 = 502.24 : x
  2. Step 2: Convert to fraction form
    1,597.80/2,396.68 = 502.24/x
  3. Step 3: Cross multiply
    1,597.80x = 2,396.68 × 502.24
  4. Step 4: Simplify right side
    1,597.80x = 1,203,708.56
  5. Step 5: Solve for x
    x = 1,203,708.56/1,597.80
  6. Step 6: Final answer
    x = 753.35

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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.