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Finding the Fourth Proportional to 1,202.27, 1,658.75 and 678.20

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Solution

The fourth proportional to 1,202.27, 1,658.75 and 678.20 is: 935.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,202.27 : 1,658.75 = 678.20 : x
  2. Step 2: Convert to fraction form
    1,202.27/1,658.75 = 678.20/x
  3. Step 3: Cross multiply
    1,202.27x = 1,658.75 × 678.20
  4. Step 4: Simplify right side
    1,202.27x = 1,124,952.57
  5. Step 5: Solve for x
    x = 1,124,952.57/1,202.27
  6. Step 6: Final answer
    x = 935.69

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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.