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Finding the Fourth Proportional to 814.08, 1,123.16 and 482.57

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Solution

The fourth proportional to 814.08, 1,123.16 and 482.57 is: 665.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    814.08 : 1,123.16 = 482.57 : x
  2. Step 2: Convert to fraction form
    814.08/1,123.16 = 482.57/x
  3. Step 3: Cross multiply
    814.08x = 1,123.16 × 482.57
  4. Step 4: Simplify right side
    814.08x = 541,995.29
  5. Step 5: Solve for x
    x = 541,995.29/814.08
  6. Step 6: Final answer
    x = 665.78

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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.