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Finding the Fourth Proportional to 1,034.96, 1,428.53 and 641.75

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Solution

The fourth proportional to 1,034.96, 1,428.53 and 641.75 is: 885.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,034.96 : 1,428.53 = 641.75 : x
  2. Step 2: Convert to fraction form
    1,034.96/1,428.53 = 641.75/x
  3. Step 3: Cross multiply
    1,034.96x = 1,428.53 × 641.75
  4. Step 4: Simplify right side
    1,034.96x = 916,748.78
  5. Step 5: Solve for x
    x = 916,748.78/1,034.96
  6. Step 6: Final answer
    x = 885.79

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