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Finding the Fourth Proportional to 966.95, 1,448.40 and 760.54

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Solution

The fourth proportional to 966.95, 1,448.40 and 760.54 is: 1,139.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    966.95 : 1,448.40 = 760.54 : x
  2. Step 2: Convert to fraction form
    966.95/1,448.40 = 760.54/x
  3. Step 3: Cross multiply
    966.95x = 1,448.40 × 760.54
  4. Step 4: Simplify right side
    966.95x = 1,101,566.14
  5. Step 5: Solve for x
    x = 1,101,566.14/966.95
  6. Step 6: Final answer
    x = 1,139.22

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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.