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Finding the Fourth Proportional to 732.12, 1,009.72 and 510.80

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Solution

The fourth proportional to 732.12, 1,009.72 and 510.80 is: 704.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    732.12 : 1,009.72 = 510.80 : x
  2. Step 2: Convert to fraction form
    732.12/1,009.72 = 510.80/x
  3. Step 3: Cross multiply
    732.12x = 1,009.72 × 510.80
  4. Step 4: Simplify right side
    732.12x = 515,764.98
  5. Step 5: Solve for x
    x = 515,764.98/732.12
  6. Step 6: Final answer
    x = 704.48

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.