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Finding the Fourth Proportional to 1,013.68, 1,405.28 and 966.64

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Solution

The fourth proportional to 1,013.68, 1,405.28 and 966.64 is: 1,340.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,013.68 : 1,405.28 = 966.64 : x
  2. Step 2: Convert to fraction form
    1,013.68/1,405.28 = 966.64/x
  3. Step 3: Cross multiply
    1,013.68x = 1,405.28 × 966.64
  4. Step 4: Simplify right side
    1,013.68x = 1,358,399.86
  5. Step 5: Solve for x
    x = 1,358,399.86/1,013.68
  6. Step 6: Final answer
    x = 1,340.07

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.