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Finding the Fourth Proportional to 1,525.97, 2,287.41 and 602.17

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Solution

The fourth proportional to 1,525.97, 2,287.41 and 602.17 is: 902.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,525.97 : 2,287.41 = 602.17 : x
  2. Step 2: Convert to fraction form
    1,525.97/2,287.41 = 602.17/x
  3. Step 3: Cross multiply
    1,525.97x = 2,287.41 × 602.17
  4. Step 4: Simplify right side
    1,525.97x = 1,377,410.28
  5. Step 5: Solve for x
    x = 1,377,410.28/1,525.97
  6. Step 6: Final answer
    x = 902.65

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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.