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Finding the Fourth Proportional to 922.50, 1,380.30 and 649.14

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Solution

The fourth proportional to 922.50, 1,380.30 and 649.14 is: 971.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    922.50 : 1,380.30 = 649.14 : x
  2. Step 2: Convert to fraction form
    922.50/1,380.30 = 649.14/x
  3. Step 3: Cross multiply
    922.50x = 1,380.30 × 649.14
  4. Step 4: Simplify right side
    922.50x = 896,007.94
  5. Step 5: Solve for x
    x = 896,007.94/922.50
  6. Step 6: Final answer
    x = 971.28

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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.