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Finding the Fourth Proportional to 975.84, 1,462.36 and 512.68

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Solution

The fourth proportional to 975.84, 1,462.36 and 512.68 is: 768.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    975.84 : 1,462.36 = 512.68 : x
  2. Step 2: Convert to fraction form
    975.84/1,462.36 = 512.68/x
  3. Step 3: Cross multiply
    975.84x = 1,462.36 × 512.68
  4. Step 4: Simplify right side
    975.84x = 749,722.72
  5. Step 5: Solve for x
    x = 749,722.72/975.84
  6. Step 6: Final answer
    x = 768.28

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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.