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Finding the Fourth Proportional to 1,118.24, 1,542.60 and 768.32

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Solution

The fourth proportional to 1,118.24, 1,542.60 and 768.32 is: 1,059.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,118.24 : 1,542.60 = 768.32 : x
  2. Step 2: Convert to fraction form
    1,118.24/1,542.60 = 768.32/x
  3. Step 3: Cross multiply
    1,118.24x = 1,542.60 × 768.32
  4. Step 4: Simplify right side
    1,118.24x = 1,185,210.43
  5. Step 5: Solve for x
    x = 1,185,210.43/1,118.24
  6. Step 6: Final answer
    x = 1,059.89

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.