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Finding the Fourth Proportional to 683.18, 1,024.78 and 649.98

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Solution

The fourth proportional to 683.18, 1,024.78 and 649.98 is: 974.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    683.18 : 1,024.78 = 649.98 : x
  2. Step 2: Convert to fraction form
    683.18/1,024.78 = 649.98/x
  3. Step 3: Cross multiply
    683.18x = 1,024.78 × 649.98
  4. Step 4: Simplify right side
    683.18x = 666,086.50
  5. Step 5: Solve for x
    x = 666,086.50/683.18
  6. Step 6: Final answer
    x = 974.98

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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.