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Finding the Fourth Proportional to 1,214.93, 1,677.45 and 966.84

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Solution

The fourth proportional to 1,214.93, 1,677.45 and 966.84 is: 1,334.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,214.93 : 1,677.45 = 966.84 : x
  2. Step 2: Convert to fraction form
    1,214.93/1,677.45 = 966.84/x
  3. Step 3: Cross multiply
    1,214.93x = 1,677.45 × 966.84
  4. Step 4: Simplify right side
    1,214.93x = 1,621,825.76
  5. Step 5: Solve for x
    x = 1,621,825.76/1,214.93
  6. Step 6: Final answer
    x = 1,334.92

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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.