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Finding the Fourth Proportional to 1,490.91, 2,057.07 and 966.63

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Solution

The fourth proportional to 1,490.91, 2,057.07 and 966.63 is: 1,333.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,490.91 : 2,057.07 = 966.63 : x
  2. Step 2: Convert to fraction form
    1,490.91/2,057.07 = 966.63/x
  3. Step 3: Cross multiply
    1,490.91x = 2,057.07 × 966.63
  4. Step 4: Simplify right side
    1,490.91x = 1,988,425.57
  5. Step 5: Solve for x
    x = 1,988,425.57/1,490.91
  6. Step 6: Final answer
    x = 1,333.70

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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.