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Finding the Fourth Proportional to 755.88, 1,134 and 322.92

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Solution

The fourth proportional to 755.88, 1,134 and 322.92 is: 484.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    755.88 : 1,134 = 322.92 : x
  2. Step 2: Convert to fraction form
    755.88/1,134 = 322.92/x
  3. Step 3: Cross multiply
    755.88x = 1,134 × 322.92
  4. Step 4: Simplify right side
    755.88x = 366,191.28
  5. Step 5: Solve for x
    x = 366,191.28/755.88
  6. Step 6: Final answer
    x = 484.46

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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.