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Finding the Fourth Proportional to 1,009.97, 1,514.82 and 351.58

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Solution

The fourth proportional to 1,009.97, 1,514.82 and 351.58 is: 527.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,009.97 : 1,514.82 = 351.58 : x
  2. Step 2: Convert to fraction form
    1,009.97/1,514.82 = 351.58/x
  3. Step 3: Cross multiply
    1,009.97x = 1,514.82 × 351.58
  4. Step 4: Simplify right side
    1,009.97x = 532,580.42
  5. Step 5: Solve for x
    x = 532,580.42/1,009.97
  6. Step 6: Final answer
    x = 527.32

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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.