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Finding the Fourth Proportional to 813.85, 1,122.83 and 519.28

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Solution

The fourth proportional to 813.85, 1,122.83 and 519.28 is: 716.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    813.85 : 1,122.83 = 519.28 : x
  2. Step 2: Convert to fraction form
    813.85/1,122.83 = 519.28/x
  3. Step 3: Cross multiply
    813.85x = 1,122.83 × 519.28
  4. Step 4: Simplify right side
    813.85x = 583,059.71
  5. Step 5: Solve for x
    x = 583,059.71/813.85
  6. Step 6: Final answer
    x = 716.42

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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.