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Finding the Fourth Proportional to 712.86, 984 and 464.85

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Solution

The fourth proportional to 712.86, 984 and 464.85 is: 641.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    712.86 : 984 = 464.85 : x
  2. Step 2: Convert to fraction form
    712.86/984 = 464.85/x
  3. Step 3: Cross multiply
    712.86x = 984 × 464.85
  4. Step 4: Simplify right side
    712.86x = 457,412.40
  5. Step 5: Solve for x
    x = 457,412.40/712.86
  6. Step 6: Final answer
    x = 641.66

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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.