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Finding the Fourth Proportional to 700.38, 964.35 and 600.66

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Solution

The fourth proportional to 700.38, 964.35 and 600.66 is: 827.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    700.38 : 964.35 = 600.66 : x
  2. Step 2: Convert to fraction form
    700.38/964.35 = 600.66/x
  3. Step 3: Cross multiply
    700.38x = 964.35 × 600.66
  4. Step 4: Simplify right side
    700.38x = 579,246.47
  5. Step 5: Solve for x
    x = 579,246.47/700.38
  6. Step 6: Final answer
    x = 827.05

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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.