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Finding the Fourth Proportional to 1,286.81, 1,775.79 and 697.34

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Solution

The fourth proportional to 1,286.81, 1,775.79 and 697.34 is: 962.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,286.81 : 1,775.79 = 697.34 : x
  2. Step 2: Convert to fraction form
    1,286.81/1,775.79 = 697.34/x
  3. Step 3: Cross multiply
    1,286.81x = 1,775.79 × 697.34
  4. Step 4: Simplify right side
    1,286.81x = 1,238,320.52
  5. Step 5: Solve for x
    x = 1,238,320.52/1,286.81
  6. Step 6: Final answer
    x = 962.32

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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.