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Finding the Fourth Proportional to 1,597.48, 2,396.22 and 502.78

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Solution

The fourth proportional to 1,597.48, 2,396.22 and 502.78 is: 754.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,597.48 : 2,396.22 = 502.78 : x
  2. Step 2: Convert to fraction form
    1,597.48/2,396.22 = 502.78/x
  3. Step 3: Cross multiply
    1,597.48x = 2,396.22 × 502.78
  4. Step 4: Simplify right side
    1,597.48x = 1,204,771.49
  5. Step 5: Solve for x
    x = 1,204,771.49/1,597.48
  6. Step 6: Final answer
    x = 754.17

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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.