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Finding the Fourth Proportional to 699.10, 964.14 and 532.91

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Solution

The fourth proportional to 699.10, 964.14 and 532.91 is: 734.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    699.10 : 964.14 = 532.91 : x
  2. Step 2: Convert to fraction form
    699.10/964.14 = 532.91/x
  3. Step 3: Cross multiply
    699.10x = 964.14 × 532.91
  4. Step 4: Simplify right side
    699.10x = 513,800.26
  5. Step 5: Solve for x
    x = 513,800.26/699.10
  6. Step 6: Final answer
    x = 734.95

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.