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Finding the Fourth Proportional to 1,691.42, 2,534.76 and 764.71

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Solution

The fourth proportional to 1,691.42, 2,534.76 and 764.71 is: 1,145.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,691.42 : 2,534.76 = 764.71 : x
  2. Step 2: Convert to fraction form
    1,691.42/2,534.76 = 764.71/x
  3. Step 3: Cross multiply
    1,691.42x = 2,534.76 × 764.71
  4. Step 4: Simplify right side
    1,691.42x = 1,938,349.98
  5. Step 5: Solve for x
    x = 1,938,349.98/1,691.42
  6. Step 6: Final answer
    x = 1,145.99

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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.