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Finding the Fourth Proportional to 1,077.25, 1,616.03 and 557.31

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Solution

The fourth proportional to 1,077.25, 1,616.03 and 557.31 is: 836.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,077.25 : 1,616.03 = 557.31 : x
  2. Step 2: Convert to fraction form
    1,077.25/1,616.03 = 557.31/x
  3. Step 3: Cross multiply
    1,077.25x = 1,616.03 × 557.31
  4. Step 4: Simplify right side
    1,077.25x = 900,619.84
  5. Step 5: Solve for x
    x = 900,619.84/1,077.25
  6. Step 6: Final answer
    x = 836.04

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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.