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Finding the Fourth Proportional to 1,597.34, 2,396.34 and 501.81

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Solution

The fourth proportional to 1,597.34, 2,396.34 and 501.81 is: 752.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,597.34 : 2,396.34 = 501.81 : x
  2. Step 2: Convert to fraction form
    1,597.34/2,396.34 = 501.81/x
  3. Step 3: Cross multiply
    1,597.34x = 2,396.34 × 501.81
  4. Step 4: Simplify right side
    1,597.34x = 1,202,507.38
  5. Step 5: Solve for x
    x = 1,202,507.38/1,597.34
  6. Step 6: Final answer
    x = 752.82

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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.