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Finding the Fourth Proportional to 813.20, 1,218.80 and 553.20

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Solution

The fourth proportional to 813.20, 1,218.80 and 553.20 is: 829.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    813.20 : 1,218.80 = 553.20 : x
  2. Step 2: Convert to fraction form
    813.20/1,218.80 = 553.20/x
  3. Step 3: Cross multiply
    813.20x = 1,218.80 × 553.20
  4. Step 4: Simplify right side
    813.20x = 674,240.16
  5. Step 5: Solve for x
    x = 674,240.16/813.20
  6. Step 6: Final answer
    x = 829.12

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.