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Finding the Fourth Proportional to 1,034.86, 1,428.06 and 641.92

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Solution

The fourth proportional to 1,034.86, 1,428.06 and 641.92 is: 885.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,034.86 : 1,428.06 = 641.92 : x
  2. Step 2: Convert to fraction form
    1,034.86/1,428.06 = 641.92/x
  3. Step 3: Cross multiply
    1,034.86x = 1,428.06 × 641.92
  4. Step 4: Simplify right side
    1,034.86x = 916,700.28
  5. Step 5: Solve for x
    x = 916,700.28/1,034.86
  6. Step 6: Final answer
    x = 885.82

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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.