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Finding the Fourth Proportional to 1,393.34, 1,922.23 and 869.06

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Solution

The fourth proportional to 1,393.34, 1,922.23 and 869.06 is: 1,198.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,393.34 : 1,922.23 = 869.06 : x
  2. Step 2: Convert to fraction form
    1,393.34/1,922.23 = 869.06/x
  3. Step 3: Cross multiply
    1,393.34x = 1,922.23 × 869.06
  4. Step 4: Simplify right side
    1,393.34x = 1,670,539.10
  5. Step 5: Solve for x
    x = 1,670,539.10/1,393.34
  6. Step 6: Final answer
    x = 1,198.95

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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.