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Finding the Fourth Proportional to 1,033.28, 1,551.84 and 691.52

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Solution

The fourth proportional to 1,033.28, 1,551.84 and 691.52 is: 1,038.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,033.28 : 1,551.84 = 691.52 : x
  2. Step 2: Convert to fraction form
    1,033.28/1,551.84 = 691.52/x
  3. Step 3: Cross multiply
    1,033.28x = 1,551.84 × 691.52
  4. Step 4: Simplify right side
    1,033.28x = 1,073,128.40
  5. Step 5: Solve for x
    x = 1,073,128.40/1,033.28
  6. Step 6: Final answer
    x = 1,038.56

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Why These Related Problems?

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