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Finding the Fourth Proportional to 1,117.70, 1,674.96 and 822.90

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Solution

The fourth proportional to 1,117.70, 1,674.96 and 822.90 is: 1,233.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,117.70 : 1,674.96 = 822.90 : x
  2. Step 2: Convert to fraction form
    1,117.70/1,674.96 = 822.90/x
  3. Step 3: Cross multiply
    1,117.70x = 1,674.96 × 822.90
  4. Step 4: Simplify right side
    1,117.70x = 1,378,324.58
  5. Step 5: Solve for x
    x = 1,378,324.58/1,117.70
  6. Step 6: Final answer
    x = 1,233.18

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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.