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Finding the Fourth Proportional to 922.44, 1,382.72 and 511.76

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Solution

The fourth proportional to 922.44, 1,382.72 and 511.76 is: 767.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    922.44 : 1,382.72 = 511.76 : x
  2. Step 2: Convert to fraction form
    922.44/1,382.72 = 511.76/x
  3. Step 3: Cross multiply
    922.44x = 1,382.72 × 511.76
  4. Step 4: Simplify right side
    922.44x = 707,620.79
  5. Step 5: Solve for x
    x = 707,620.79/922.44
  6. Step 6: Final answer
    x = 767.12

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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.