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Finding the Fourth Proportional to 795.18, 1,192.78 and 749.82

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Solution

The fourth proportional to 795.18, 1,192.78 and 749.82 is: 1,124.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    795.18 : 1,192.78 = 749.82 : x
  2. Step 2: Convert to fraction form
    795.18/1,192.78 = 749.82/x
  3. Step 3: Cross multiply
    795.18x = 1,192.78 × 749.82
  4. Step 4: Simplify right side
    795.18x = 894,370.30
  5. Step 5: Solve for x
    x = 894,370.30/795.18
  6. Step 6: Final answer
    x = 1,124.74

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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.