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Finding the Fourth Proportional to 975.80, 1,461.05 and 650.12

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Solution

The fourth proportional to 975.80, 1,461.05 and 650.12 is: 973.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    975.80 : 1,461.05 = 650.12 : x
  2. Step 2: Convert to fraction form
    975.80/1,461.05 = 650.12/x
  3. Step 3: Cross multiply
    975.80x = 1,461.05 × 650.12
  4. Step 4: Simplify right side
    975.80x = 949,857.83
  5. Step 5: Solve for x
    x = 949,857.83/975.80
  6. Step 6: Final answer
    x = 973.41

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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.