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Finding the Fourth Proportional to 806.60, 1,112.37 and 688.98

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Solution

The fourth proportional to 806.60, 1,112.37 and 688.98 is: 950.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    806.60 : 1,112.37 = 688.98 : x
  2. Step 2: Convert to fraction form
    806.60/1,112.37 = 688.98/x
  3. Step 3: Cross multiply
    806.60x = 1,112.37 × 688.98
  4. Step 4: Simplify right side
    806.60x = 766,400.68
  5. Step 5: Solve for x
    x = 766,400.68/806.60
  6. Step 6: Final answer
    x = 950.17

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.