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Finding the Fourth Proportional to 851.72, 1,278.18 and 578.07

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Solution

The fourth proportional to 851.72, 1,278.18 and 578.07 is: 867.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    851.72 : 1,278.18 = 578.07 : x
  2. Step 2: Convert to fraction form
    851.72/1,278.18 = 578.07/x
  3. Step 3: Cross multiply
    851.72x = 1,278.18 × 578.07
  4. Step 4: Simplify right side
    851.72x = 738,877.51
  5. Step 5: Solve for x
    x = 738,877.51/851.72
  6. Step 6: Final answer
    x = 867.52

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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.