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Finding the Fourth Proportional to 1,009.73, 1,514.61 and 360.52

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Solution

The fourth proportional to 1,009.73, 1,514.61 and 360.52 is: 540.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,009.73 : 1,514.61 = 360.52 : x
  2. Step 2: Convert to fraction form
    1,009.73/1,514.61 = 360.52/x
  3. Step 3: Cross multiply
    1,009.73x = 1,514.61 × 360.52
  4. Step 4: Simplify right side
    1,009.73x = 546,043.41
  5. Step 5: Solve for x
    x = 546,043.41/1,009.73
  6. Step 6: Final answer
    x = 540.78

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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.