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Finding the Fourth Proportional to 767.13, 1,060.83 and 734.52

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Solution

The fourth proportional to 767.13, 1,060.83 and 734.52 is: 1,015.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    767.13 : 1,060.83 = 734.52 : x
  2. Step 2: Convert to fraction form
    767.13/1,060.83 = 734.52/x
  3. Step 3: Cross multiply
    767.13x = 1,060.83 × 734.52
  4. Step 4: Simplify right side
    767.13x = 779,200.85
  5. Step 5: Solve for x
    x = 779,200.85/767.13
  6. Step 6: Final answer
    x = 1,015.74

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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.