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Finding the Fourth Proportional to 677.50, 1,010.09 and 636.19

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Solution

The fourth proportional to 677.50, 1,010.09 and 636.19 is: 948.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    677.50 : 1,010.09 = 636.19 : x
  2. Step 2: Convert to fraction form
    677.50/1,010.09 = 636.19/x
  3. Step 3: Cross multiply
    677.50x = 1,010.09 × 636.19
  4. Step 4: Simplify right side
    677.50x = 642,609.16
  5. Step 5: Solve for x
    x = 642,609.16/677.50
  6. Step 6: Final answer
    x = 948.50

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.