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Finding the Fourth Proportional to 1,034.46, 1,427.76 and 641.66

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Solution

The fourth proportional to 1,034.46, 1,427.76 and 641.66 is: 885.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,034.46 : 1,427.76 = 641.66 : x
  2. Step 2: Convert to fraction form
    1,034.46/1,427.76 = 641.66/x
  3. Step 3: Cross multiply
    1,034.46x = 1,427.76 × 641.66
  4. Step 4: Simplify right side
    1,034.46x = 916,136.48
  5. Step 5: Solve for x
    x = 916,136.48/1,034.46
  6. Step 6: Final answer
    x = 885.62

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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.