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Finding the Fourth Proportional to 1,658.30, 2,288.46 and 912.24

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Solution

The fourth proportional to 1,658.30, 2,288.46 and 912.24 is: 1,258.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,658.30 : 2,288.46 = 912.24 : x
  2. Step 2: Convert to fraction form
    1,658.30/2,288.46 = 912.24/x
  3. Step 3: Cross multiply
    1,658.30x = 2,288.46 × 912.24
  4. Step 4: Simplify right side
    1,658.30x = 2,087,624.75
  5. Step 5: Solve for x
    x = 2,087,624.75/1,658.30
  6. Step 6: Final answer
    x = 1,258.89

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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.