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Finding the Fourth Proportional to 1,597.41, 2,396.16 and 501.75

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Solution

The fourth proportional to 1,597.41, 2,396.16 and 501.75 is: 752.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,597.41 : 2,396.16 = 501.75 : x
  2. Step 2: Convert to fraction form
    1,597.41/2,396.16 = 501.75/x
  3. Step 3: Cross multiply
    1,597.41x = 2,396.16 × 501.75
  4. Step 4: Simplify right side
    1,597.41x = 1,202,273.28
  5. Step 5: Solve for x
    x = 1,202,273.28/1,597.41
  6. Step 6: Final answer
    x = 752.64

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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.