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Finding the Fourth Proportional to 1,597.70, 2,397 and 502.22

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Solution

The fourth proportional to 1,597.70, 2,397 and 502.22 is: 753.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,597.70 : 2,397 = 502.22 : x
  2. Step 2: Convert to fraction form
    1,597.70/2,397 = 502.22/x
  3. Step 3: Cross multiply
    1,597.70x = 2,397 × 502.22
  4. Step 4: Simplify right side
    1,597.70x = 1,203,821.34
  5. Step 5: Solve for x
    x = 1,203,821.34/1,597.70
  6. Step 6: Final answer
    x = 753.47

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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.