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Finding the Fourth Proportional to 1,034.54, 1,427.50 and 661.85

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Solution

The fourth proportional to 1,034.54, 1,427.50 and 661.85 is: 913.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,034.54 : 1,427.50 = 661.85 : x
  2. Step 2: Convert to fraction form
    1,034.54/1,427.50 = 661.85/x
  3. Step 3: Cross multiply
    1,034.54x = 1,427.50 × 661.85
  4. Step 4: Simplify right side
    1,034.54x = 944,790.88
  5. Step 5: Solve for x
    x = 944,790.88/1,034.54
  6. Step 6: Final answer
    x = 913.25

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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.