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Finding the Fourth Proportional to 1,009.50, 1,514.26 and 432.38

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Solution

The fourth proportional to 1,009.50, 1,514.26 and 432.38 is: 648.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,009.50 : 1,514.26 = 432.38 : x
  2. Step 2: Convert to fraction form
    1,009.50/1,514.26 = 432.38/x
  3. Step 3: Cross multiply
    1,009.50x = 1,514.26 × 432.38
  4. Step 4: Simplify right side
    1,009.50x = 654,735.74
  5. Step 5: Solve for x
    x = 654,735.74/1,009.50
  6. Step 6: Final answer
    x = 648.57

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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.