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Finding the Fourth Proportional to 975.87, 1,461.87 and 512.96

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Solution

The fourth proportional to 975.87, 1,461.87 and 512.96 is: 768.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    975.87 : 1,461.87 = 512.96 : x
  2. Step 2: Convert to fraction form
    975.87/1,461.87 = 512.96/x
  3. Step 3: Cross multiply
    975.87x = 1,461.87 × 512.96
  4. Step 4: Simplify right side
    975.87x = 749,880.84
  5. Step 5: Solve for x
    x = 749,880.84/975.87
  6. Step 6: Final answer
    x = 768.42

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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.