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Finding the Fourth Proportional to 1,008.72, 1,514.16 and 522

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Solution

The fourth proportional to 1,008.72, 1,514.16 and 522 is: 783.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,008.72 : 1,514.16 = 522 : x
  2. Step 2: Convert to fraction form
    1,008.72/1,514.16 = 522/x
  3. Step 3: Cross multiply
    1,008.72x = 1,514.16 × 522
  4. Step 4: Simplify right side
    1,008.72x = 790,391.52
  5. Step 5: Solve for x
    x = 790,391.52/1,008.72
  6. Step 6: Final answer
    x = 783.56

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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.