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Finding the Fourth Proportional to 1,514.40, 2,272.92 and 784.40

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Solution

The fourth proportional to 1,514.40, 2,272.92 and 784.40 is: 1,177.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,514.40 : 2,272.92 = 784.40 : x
  2. Step 2: Convert to fraction form
    1,514.40/2,272.92 = 784.40/x
  3. Step 3: Cross multiply
    1,514.40x = 2,272.92 × 784.40
  4. Step 4: Simplify right side
    1,514.40x = 1,782,878.45
  5. Step 5: Solve for x
    x = 1,782,878.45/1,514.40
  6. Step 6: Final answer
    x = 1,177.28

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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.