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Finding the Fourth Proportional to 814.06, 1,123.41 and 593.20

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Solution

The fourth proportional to 814.06, 1,123.41 and 593.20 is: 818.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    814.06 : 1,123.41 = 593.20 : x
  2. Step 2: Convert to fraction form
    814.06/1,123.41 = 593.20/x
  3. Step 3: Cross multiply
    814.06x = 1,123.41 × 593.20
  4. Step 4: Simplify right side
    814.06x = 666,406.81
  5. Step 5: Solve for x
    x = 666,406.81/814.06
  6. Step 6: Final answer
    x = 818.62

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Double scale
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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.