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Finding the Fourth Proportional to 1,032.58, 1,427.19 and 913.72

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Solution

The fourth proportional to 1,032.58, 1,427.19 and 913.72 is: 1,262.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,032.58 : 1,427.19 = 913.72 : x
  2. Step 2: Convert to fraction form
    1,032.58/1,427.19 = 913.72/x
  3. Step 3: Cross multiply
    1,032.58x = 1,427.19 × 913.72
  4. Step 4: Simplify right side
    1,032.58x = 1,304,052.05
  5. Step 5: Solve for x
    x = 1,304,052.05/1,032.58
  6. Step 6: Final answer
    x = 1,262.91

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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.