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Finding the Fourth Proportional to 779.25, 1,168.02 and 688.17

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Solution

The fourth proportional to 779.25, 1,168.02 and 688.17 is: 1,031.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    779.25 : 1,168.02 = 688.17 : x
  2. Step 2: Convert to fraction form
    779.25/1,168.02 = 688.17/x
  3. Step 3: Cross multiply
    779.25x = 1,168.02 × 688.17
  4. Step 4: Simplify right side
    779.25x = 803,796.32
  5. Step 5: Solve for x
    x = 803,796.32/779.25
  6. Step 6: Final answer
    x = 1,031.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.