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Finding the Fourth Proportional to 784.14, 1,082.80 and 575.49

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Solution

The fourth proportional to 784.14, 1,082.80 and 575.49 is: 794.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    784.14 : 1,082.80 = 575.49 : x
  2. Step 2: Convert to fraction form
    784.14/1,082.80 = 575.49/x
  3. Step 3: Cross multiply
    784.14x = 1,082.80 × 575.49
  4. Step 4: Simplify right side
    784.14x = 623,140.57
  5. Step 5: Solve for x
    x = 623,140.57/784.14
  6. Step 6: Final answer
    x = 794.68

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.