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Finding the Fourth Proportional to 1,514.91, 2,272.61 and 474.67

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Solution

The fourth proportional to 1,514.91, 2,272.61 and 474.67 is: 712.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,514.91 : 2,272.61 = 474.67 : x
  2. Step 2: Convert to fraction form
    1,514.91/2,272.61 = 474.67/x
  3. Step 3: Cross multiply
    1,514.91x = 2,272.61 × 474.67
  4. Step 4: Simplify right side
    1,514.91x = 1,078,739.79
  5. Step 5: Solve for x
    x = 1,078,739.79/1,514.91
  6. Step 6: Final answer
    x = 712.08

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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.