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Finding the Fourth Proportional to 696, 1,040.87 and 531.52

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Solution

The fourth proportional to 696, 1,040.87 and 531.52 is: 794.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    696 : 1,040.87 = 531.52 : x
  2. Step 2: Convert to fraction form
    696/1,040.87 = 531.52/x
  3. Step 3: Cross multiply
    696x = 1,040.87 × 531.52
  4. Step 4: Simplify right side
    696x = 553,243.22
  5. Step 5: Solve for x
    x = 553,243.22/696
  6. Step 6: Final answer
    x = 794.89

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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.