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Finding the Fourth Proportional to 975.52, 1,462.62 and 649.96

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Solution

The fourth proportional to 975.52, 1,462.62 and 649.96 is: 974.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    975.52 : 1,462.62 = 649.96 : x
  2. Step 2: Convert to fraction form
    975.52/1,462.62 = 649.96/x
  3. Step 3: Cross multiply
    975.52x = 1,462.62 × 649.96
  4. Step 4: Simplify right side
    975.52x = 950,644.50
  5. Step 5: Solve for x
    x = 950,644.50/975.52
  6. Step 6: Final answer
    x = 974.50

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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.