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Finding the Fourth Proportional to 1,032.74, 1,548.69 and 383.25

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Solution

The fourth proportional to 1,032.74, 1,548.69 and 383.25 is: 574.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,032.74 : 1,548.69 = 383.25 : x
  2. Step 2: Convert to fraction form
    1,032.74/1,548.69 = 383.25/x
  3. Step 3: Cross multiply
    1,032.74x = 1,548.69 × 383.25
  4. Step 4: Simplify right side
    1,032.74x = 593,535.44
  5. Step 5: Solve for x
    x = 593,535.44/1,032.74
  6. Step 6: Final answer
    x = 574.72

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.