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Finding the Fourth Proportional to 795.25, 1,186.16 and 749.52

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Solution

The fourth proportional to 795.25, 1,186.16 and 749.52 is: 1,117.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    795.25 : 1,186.16 = 749.52 : x
  2. Step 2: Convert to fraction form
    795.25/1,186.16 = 749.52/x
  3. Step 3: Cross multiply
    795.25x = 1,186.16 × 749.52
  4. Step 4: Simplify right side
    795.25x = 889,056.97
  5. Step 5: Solve for x
    x = 889,056.97/795.25
  6. Step 6: Final answer
    x = 1,117.96

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.