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Finding the Fourth Proportional to 865.12, 1,192.48 and 554.08

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Solution

The fourth proportional to 865.12, 1,192.48 and 554.08 is: 763.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    865.12 : 1,192.48 = 554.08 : x
  2. Step 2: Convert to fraction form
    865.12/1,192.48 = 554.08/x
  3. Step 3: Cross multiply
    865.12x = 1,192.48 × 554.08
  4. Step 4: Simplify right side
    865.12x = 660,729.32
  5. Step 5: Solve for x
    x = 660,729.32/865.12
  6. Step 6: Final answer
    x = 763.74

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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.