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Finding the Fourth Proportional to 686.88, 1,034.10 and 533.66

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Solution

The fourth proportional to 686.88, 1,034.10 and 533.66 is: 803.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    686.88 : 1,034.10 = 533.66 : x
  2. Step 2: Convert to fraction form
    686.88/1,034.10 = 533.66/x
  3. Step 3: Cross multiply
    686.88x = 1,034.10 × 533.66
  4. Step 4: Simplify right side
    686.88x = 551,852.64
  5. Step 5: Solve for x
    x = 551,852.64/686.88
  6. Step 6: Final answer
    x = 803.42

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.