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Finding the Fourth Proportional to 1,144.92, 1,580.54 and 814.04

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Solution

The fourth proportional to 1,144.92, 1,580.54 and 814.04 is: 1,123.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,144.92 : 1,580.54 = 814.04 : x
  2. Step 2: Convert to fraction form
    1,144.92/1,580.54 = 814.04/x
  3. Step 3: Cross multiply
    1,144.92x = 1,580.54 × 814.04
  4. Step 4: Simplify right side
    1,144.92x = 1,286,622.78
  5. Step 5: Solve for x
    x = 1,286,622.78/1,144.92
  6. Step 6: Final answer
    x = 1,123.77

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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.