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Finding the Fourth Proportional to 1,286.88, 1,775.88 and 697.42

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Solution

The fourth proportional to 1,286.88, 1,775.88 and 697.42 is: 962.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,286.88 : 1,775.88 = 697.42 : x
  2. Step 2: Convert to fraction form
    1,286.88/1,775.88 = 697.42/x
  3. Step 3: Cross multiply
    1,286.88x = 1,775.88 × 697.42
  4. Step 4: Simplify right side
    1,286.88x = 1,238,534.23
  5. Step 5: Solve for x
    x = 1,238,534.23/1,286.88
  6. Step 6: Final answer
    x = 962.43

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1.5x scale

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.