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Finding the Fourth Proportional to 716.44, 1,066.20 and 693.08

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Solution

The fourth proportional to 716.44, 1,066.20 and 693.08 is: 1,031.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    716.44 : 1,066.20 = 693.08 : x
  2. Step 2: Convert to fraction form
    716.44/1,066.20 = 693.08/x
  3. Step 3: Cross multiply
    716.44x = 1,066.20 × 693.08
  4. Step 4: Simplify right side
    716.44x = 738,961.90
  5. Step 5: Solve for x
    x = 738,961.90/716.44
  6. Step 6: Final answer
    x = 1,031.44

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.