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Finding the Fourth Proportional to 922.38, 1,271.64 and 764.43

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Solution

The fourth proportional to 922.38, 1,271.64 and 764.43 is: 1,053.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    922.38 : 1,271.64 = 764.43 : x
  2. Step 2: Convert to fraction form
    922.38/1,271.64 = 764.43/x
  3. Step 3: Cross multiply
    922.38x = 1,271.64 × 764.43
  4. Step 4: Simplify right side
    922.38x = 972,079.77
  5. Step 5: Solve for x
    x = 972,079.77/922.38
  6. Step 6: Final answer
    x = 1,053.88

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.