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Finding the Fourth Proportional to 1,011.91, 1,514.65 and 664.42

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Solution

The fourth proportional to 1,011.91, 1,514.65 and 664.42 is: 994.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,011.91 : 1,514.65 = 664.42 : x
  2. Step 2: Convert to fraction form
    1,011.91/1,514.65 = 664.42/x
  3. Step 3: Cross multiply
    1,011.91x = 1,514.65 × 664.42
  4. Step 4: Simplify right side
    1,011.91x = 1,006,363.75
  5. Step 5: Solve for x
    x = 1,006,363.75/1,011.91
  6. Step 6: Final answer
    x = 994.52

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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.