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Finding the Fourth Proportional to 814.14, 1,123.51 and 460.07

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Solution

The fourth proportional to 814.14, 1,123.51 and 460.07 is: 634.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    814.14 : 1,123.51 = 460.07 : x
  2. Step 2: Convert to fraction form
    814.14/1,123.51 = 460.07/x
  3. Step 3: Cross multiply
    814.14x = 1,123.51 × 460.07
  4. Step 4: Simplify right side
    814.14x = 516,887.63
  5. Step 5: Solve for x
    x = 516,887.63/814.14
  6. Step 6: Final answer
    x = 634.89

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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.