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Finding the Fourth Proportional to 975.92, 1,461.24 and 650.24

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Solution

The fourth proportional to 975.92, 1,461.24 and 650.24 is: 973.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    975.92 : 1,461.24 = 650.24 : x
  2. Step 2: Convert to fraction form
    975.92/1,461.24 = 650.24/x
  3. Step 3: Cross multiply
    975.92x = 1,461.24 × 650.24
  4. Step 4: Simplify right side
    975.92x = 950,156.70
  5. Step 5: Solve for x
    x = 950,156.70/975.92
  6. Step 6: Final answer
    x = 973.60

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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.