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Finding the Fourth Proportional to 1,210.60, 1,812.66 and 965.80

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Solution

The fourth proportional to 1,210.60, 1,812.66 and 965.80 is: 1,446.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,210.60 : 1,812.66 = 965.80 : x
  2. Step 2: Convert to fraction form
    1,210.60/1,812.66 = 965.80/x
  3. Step 3: Cross multiply
    1,210.60x = 1,812.66 × 965.80
  4. Step 4: Simplify right side
    1,210.60x = 1,750,667.03
  5. Step 5: Solve for x
    x = 1,750,667.03/1,210.60
  6. Step 6: Final answer
    x = 1,446.12

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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.