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Finding the Fourth Proportional to 1,034.72, 1,427.71 and 661.41

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Solution

The fourth proportional to 1,034.72, 1,427.71 and 661.41 is: 912.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,034.72 : 1,427.71 = 661.41 : x
  2. Step 2: Convert to fraction form
    1,034.72/1,427.71 = 661.41/x
  3. Step 3: Cross multiply
    1,034.72x = 1,427.71 × 661.41
  4. Step 4: Simplify right side
    1,034.72x = 944,301.67
  5. Step 5: Solve for x
    x = 944,301.67/1,034.72
  6. Step 6: Final answer
    x = 912.62

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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.