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Finding the Fourth Proportional to 1,439.10, 1,985.22 and 966.38

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Solution

The fourth proportional to 1,439.10, 1,985.22 and 966.38 is: 1,333.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,439.10 : 1,985.22 = 966.38 : x
  2. Step 2: Convert to fraction form
    1,439.10/1,985.22 = 966.38/x
  3. Step 3: Cross multiply
    1,439.10x = 1,985.22 × 966.38
  4. Step 4: Simplify right side
    1,439.10x = 1,918,476.90
  5. Step 5: Solve for x
    x = 1,918,476.90/1,439.10
  6. Step 6: Final answer
    x = 1,333.11

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.