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Finding the Fourth Proportional to 966.99, 1,446.84 and 758.01

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Solution

The fourth proportional to 966.99, 1,446.84 and 758.01 is: 1,134.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    966.99 : 1,446.84 = 758.01 : x
  2. Step 2: Convert to fraction form
    966.99/1,446.84 = 758.01/x
  3. Step 3: Cross multiply
    966.99x = 1,446.84 × 758.01
  4. Step 4: Simplify right side
    966.99x = 1,096,719.19
  5. Step 5: Solve for x
    x = 1,096,719.19/966.99
  6. Step 6: Final answer
    x = 1,134.16

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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.