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Finding the Fourth Proportional to 754.14, 1,130.67 and 291.84

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Solution

The fourth proportional to 754.14, 1,130.67 and 291.84 is: 437.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    754.14 : 1,130.67 = 291.84 : x
  2. Step 2: Convert to fraction form
    754.14/1,130.67 = 291.84/x
  3. Step 3: Cross multiply
    754.14x = 1,130.67 × 291.84
  4. Step 4: Simplify right side
    754.14x = 329,974.73
  5. Step 5: Solve for x
    x = 329,974.73/754.14
  6. Step 6: Final answer
    x = 437.55

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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.