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Finding the Fourth Proportional to 813.96, 1,123.25 and 519.17

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Solution

The fourth proportional to 813.96, 1,123.25 and 519.17 is: 716.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    813.96 : 1,123.25 = 519.17 : x
  2. Step 2: Convert to fraction form
    813.96/1,123.25 = 519.17/x
  3. Step 3: Cross multiply
    813.96x = 1,123.25 × 519.17
  4. Step 4: Simplify right side
    813.96x = 583,149.49
  5. Step 5: Solve for x
    x = 583,149.49/813.96
  6. Step 6: Final answer
    x = 716.44

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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.