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Finding the Fourth Proportional to 699.12, 964.80 and 524.96

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Solution

The fourth proportional to 699.12, 964.80 and 524.96 is: 724.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    699.12 : 964.80 = 524.96 : x
  2. Step 2: Convert to fraction form
    699.12/964.80 = 524.96/x
  3. Step 3: Cross multiply
    699.12x = 964.80 × 524.96
  4. Step 4: Simplify right side
    699.12x = 506,481.41
  5. Step 5: Solve for x
    x = 506,481.41/699.12
  6. Step 6: Final answer
    x = 724.46

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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.