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Finding the Fourth Proportional to 1,514.54, 2,272.06 and 474.34

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Solution

The fourth proportional to 1,514.54, 2,272.06 and 474.34 is: 711.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,514.54 : 2,272.06 = 474.34 : x
  2. Step 2: Convert to fraction form
    1,514.54/2,272.06 = 474.34/x
  3. Step 3: Cross multiply
    1,514.54x = 2,272.06 × 474.34
  4. Step 4: Simplify right side
    1,514.54x = 1,077,728.94
  5. Step 5: Solve for x
    x = 1,077,728.94/1,514.54
  6. Step 6: Final answer
    x = 711.59

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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.