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Finding the Fourth Proportional to 854.74, 1,180.13 and 655.22

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Solution

The fourth proportional to 854.74, 1,180.13 and 655.22 is: 904.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    854.74 : 1,180.13 = 655.22 : x
  2. Step 2: Convert to fraction form
    854.74/1,180.13 = 655.22/x
  3. Step 3: Cross multiply
    854.74x = 1,180.13 × 655.22
  4. Step 4: Simplify right side
    854.74x = 773,244.78
  5. Step 5: Solve for x
    x = 773,244.78/854.74
  6. Step 6: Final answer
    x = 904.65

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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.