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Finding the Fourth Proportional to 860.88, 1,189.16 and 676.72

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Solution

The fourth proportional to 860.88, 1,189.16 and 676.72 is: 934.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    860.88 : 1,189.16 = 676.72 : x
  2. Step 2: Convert to fraction form
    860.88/1,189.16 = 676.72/x
  3. Step 3: Cross multiply
    860.88x = 1,189.16 × 676.72
  4. Step 4: Simplify right side
    860.88x = 804,728.36
  5. Step 5: Solve for x
    x = 804,728.36/860.88
  6. Step 6: Final answer
    x = 934.77

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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.