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Finding the Fourth Proportional to 975.30, 1,462.29 and 512.70

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Solution

The fourth proportional to 975.30, 1,462.29 and 512.70 is: 768.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    975.30 : 1,462.29 = 512.70 : x
  2. Step 2: Convert to fraction form
    975.30/1,462.29 = 512.70/x
  3. Step 3: Cross multiply
    975.30x = 1,462.29 × 512.70
  4. Step 4: Simplify right side
    975.30x = 749,716.08
  5. Step 5: Solve for x
    x = 749,716.08/975.30
  6. Step 6: Final answer
    x = 768.70

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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.