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Finding the Fourth Proportional to 877.43, 1,211.03 and 578.15

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Solution

The fourth proportional to 877.43, 1,211.03 and 578.15 is: 797.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    877.43 : 1,211.03 = 578.15 : x
  2. Step 2: Convert to fraction form
    877.43/1,211.03 = 578.15/x
  3. Step 3: Cross multiply
    877.43x = 1,211.03 × 578.15
  4. Step 4: Simplify right side
    877.43x = 700,164.82
  5. Step 5: Solve for x
    x = 700,164.82/877.43
  6. Step 6: Final answer
    x = 797.97

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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.