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Finding the Fourth Proportional to 699.67, 964.38 and 524.71

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Solution

The fourth proportional to 699.67, 964.38 and 524.71 is: 723.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    699.67 : 964.38 = 524.71 : x
  2. Step 2: Convert to fraction form
    699.67/964.38 = 524.71/x
  3. Step 3: Cross multiply
    699.67x = 964.38 × 524.71
  4. Step 4: Simplify right side
    699.67x = 506,019.83
  5. Step 5: Solve for x
    x = 506,019.83/699.67
  6. Step 6: Final answer
    x = 723.23

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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.