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Finding the Fourth Proportional to 1,009.26, 1,514.56 and 432.26

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Solution

The fourth proportional to 1,009.26, 1,514.56 and 432.26 is: 648.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,009.26 : 1,514.56 = 432.26 : x
  2. Step 2: Convert to fraction form
    1,009.26/1,514.56 = 432.26/x
  3. Step 3: Cross multiply
    1,009.26x = 1,514.56 × 432.26
  4. Step 4: Simplify right side
    1,009.26x = 654,683.71
  5. Step 5: Solve for x
    x = 654,683.71/1,009.26
  6. Step 6: Final answer
    x = 648.68

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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.