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Finding the Fourth Proportional to 860.76, 1,187.85 and 467.78

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Solution

The fourth proportional to 860.76, 1,187.85 and 467.78 is: 645.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    860.76 : 1,187.85 = 467.78 : x
  2. Step 2: Convert to fraction form
    860.76/1,187.85 = 467.78/x
  3. Step 3: Cross multiply
    860.76x = 1,187.85 × 467.78
  4. Step 4: Simplify right side
    860.76x = 555,644.19
  5. Step 5: Solve for x
    x = 555,644.19/860.76
  6. Step 6: Final answer
    x = 645.53

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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.