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Finding the Fourth Proportional to 1,597.29, 2,396.39 and 501.97

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Solution

The fourth proportional to 1,597.29, 2,396.39 and 501.97 is: 753.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,597.29 : 2,396.39 = 501.97 : x
  2. Step 2: Convert to fraction form
    1,597.29/2,396.39 = 501.97/x
  3. Step 3: Cross multiply
    1,597.29x = 2,396.39 × 501.97
  4. Step 4: Simplify right side
    1,597.29x = 1,202,915.89
  5. Step 5: Solve for x
    x = 1,202,915.89/1,597.29
  6. Step 6: Final answer
    x = 753.10

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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.