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Finding the Fourth Proportional to 1,514.81, 2,272.25 and 419.25

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Solution

The fourth proportional to 1,514.81, 2,272.25 and 419.25 is: 628.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,514.81 : 2,272.25 = 419.25 : x
  2. Step 2: Convert to fraction form
    1,514.81/2,272.25 = 419.25/x
  3. Step 3: Cross multiply
    1,514.81x = 2,272.25 × 419.25
  4. Step 4: Simplify right side
    1,514.81x = 952,641.86
  5. Step 5: Solve for x
    x = 952,641.86/1,514.81
  6. Step 6: Final answer
    x = 628.89

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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.