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Finding the Fourth Proportional to 1,658.29, 2,288.40 and 912.25

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Solution

The fourth proportional to 1,658.29, 2,288.40 and 912.25 is: 1,258.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,658.29 : 2,288.40 = 912.25 : x
  2. Step 2: Convert to fraction form
    1,658.29/2,288.40 = 912.25/x
  3. Step 3: Cross multiply
    1,658.29x = 2,288.40 × 912.25
  4. Step 4: Simplify right side
    1,658.29x = 2,087,592.90
  5. Step 5: Solve for x
    x = 2,087,592.90/1,658.29
  6. Step 6: Final answer
    x = 1,258.88

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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.