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Finding the Fourth Proportional to 860.92, 1,188.48 and 660.10

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Solution

The fourth proportional to 860.92, 1,188.48 and 660.10 is: 911.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    860.92 : 1,188.48 = 660.10 : x
  2. Step 2: Convert to fraction form
    860.92/1,188.48 = 660.10/x
  3. Step 3: Cross multiply
    860.92x = 1,188.48 × 660.10
  4. Step 4: Simplify right side
    860.92x = 784,515.65
  5. Step 5: Solve for x
    x = 784,515.65/860.92
  6. Step 6: Final answer
    x = 911.25

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.