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Finding the Fourth Proportional to 813.48, 1,122.98 and 534.12

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Solution

The fourth proportional to 813.48, 1,122.98 and 534.12 is: 737.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    813.48 : 1,122.98 = 534.12 : x
  2. Step 2: Convert to fraction form
    813.48/1,122.98 = 534.12/x
  3. Step 3: Cross multiply
    813.48x = 1,122.98 × 534.12
  4. Step 4: Simplify right side
    813.48x = 599,806.08
  5. Step 5: Solve for x
    x = 599,806.08/813.48
  6. Step 6: Final answer
    x = 737.33

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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.