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Finding the Fourth Proportional to 865.77, 1,191.76 and 748.14

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Solution

The fourth proportional to 865.77, 1,191.76 and 748.14 is: 1,029.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    865.77 : 1,191.76 = 748.14 : x
  2. Step 2: Convert to fraction form
    865.77/1,191.76 = 748.14/x
  3. Step 3: Cross multiply
    865.77x = 1,191.76 × 748.14
  4. Step 4: Simplify right side
    865.77x = 891,603.33
  5. Step 5: Solve for x
    x = 891,603.33/865.77
  6. Step 6: Final answer
    x = 1,029.84

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1.5x scale

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.