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Finding the Fourth Proportional to 699.35, 964.38 and 566.44

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Solution

The fourth proportional to 699.35, 964.38 and 566.44 is: 781.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    699.35 : 964.38 = 566.44 : x
  2. Step 2: Convert to fraction form
    699.35/964.38 = 566.44/x
  3. Step 3: Cross multiply
    699.35x = 964.38 × 566.44
  4. Step 4: Simplify right side
    699.35x = 546,263.41
  5. Step 5: Solve for x
    x = 546,263.41/699.35
  6. Step 6: Final answer
    x = 781.10

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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.