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Finding the Fourth Proportional to 975, 1,462.93 and 512.67

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Solution

The fourth proportional to 975, 1,462.93 and 512.67 is: 769.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    975 : 1,462.93 = 512.67 : x
  2. Step 2: Convert to fraction form
    975/1,462.93 = 512.67/x
  3. Step 3: Cross multiply
    975x = 1,462.93 × 512.67
  4. Step 4: Simplify right side
    975x = 750,000.32
  5. Step 5: Solve for x
    x = 750,000.32/975
  6. Step 6: Final answer
    x = 769.23

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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.