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Finding the Fourth Proportional to 739.85, 1,115.38 and 700.16

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Solution

The fourth proportional to 739.85, 1,115.38 and 700.16 is: 1,055.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    739.85 : 1,115.38 = 700.16 : x
  2. Step 2: Convert to fraction form
    739.85/1,115.38 = 700.16/x
  3. Step 3: Cross multiply
    739.85x = 1,115.38 × 700.16
  4. Step 4: Simplify right side
    739.85x = 780,939.76
  5. Step 5: Solve for x
    x = 780,939.76/739.85
  6. Step 6: Final answer
    x = 1,055.55

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.