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Finding the Fourth Proportional to 1,209.60, 1,811.16 and 964.80

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Solution

The fourth proportional to 1,209.60, 1,811.16 and 964.80 is: 1,444.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,209.60 : 1,811.16 = 964.80 : x
  2. Step 2: Convert to fraction form
    1,209.60/1,811.16 = 964.80/x
  3. Step 3: Cross multiply
    1,209.60x = 1,811.16 × 964.80
  4. Step 4: Simplify right side
    1,209.60x = 1,747,407.17
  5. Step 5: Solve for x
    x = 1,747,407.17/1,209.60
  6. Step 6: Final answer
    x = 1,444.62

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.