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Finding the Fourth Proportional to 1,033.92, 1,551.14 and 902.70

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Solution

The fourth proportional to 1,033.92, 1,551.14 and 902.70 is: 1,354.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,033.92 : 1,551.14 = 902.70 : x
  2. Step 2: Convert to fraction form
    1,033.92/1,551.14 = 902.70/x
  3. Step 3: Cross multiply
    1,033.92x = 1,551.14 × 902.70
  4. Step 4: Simplify right side
    1,033.92x = 1,400,214.08
  5. Step 5: Solve for x
    x = 1,400,214.08/1,033.92
  6. Step 6: Final answer
    x = 1,354.28

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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.