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Finding the Fourth Proportional to 754.33, 1,130.71 and 315.83

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Solution

The fourth proportional to 754.33, 1,130.71 and 315.83 is: 473.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    754.33 : 1,130.71 = 315.83 : x
  2. Step 2: Convert to fraction form
    754.33/1,130.71 = 315.83/x
  3. Step 3: Cross multiply
    754.33x = 1,130.71 × 315.83
  4. Step 4: Simplify right side
    754.33x = 357,112.14
  5. Step 5: Solve for x
    x = 357,112.14/754.33
  6. Step 6: Final answer
    x = 473.42

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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.