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Finding the Fourth Proportional to 1,182.25, 1,773.19 and 565.03

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Solution

The fourth proportional to 1,182.25, 1,773.19 and 565.03 is: 847.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,182.25 : 1,773.19 = 565.03 : x
  2. Step 2: Convert to fraction form
    1,182.25/1,773.19 = 565.03/x
  3. Step 3: Cross multiply
    1,182.25x = 1,773.19 × 565.03
  4. Step 4: Simplify right side
    1,182.25x = 1,001,905.55
  5. Step 5: Solve for x
    x = 1,001,905.55/1,182.25
  6. Step 6: Final answer
    x = 847.46

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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.