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Finding the Fourth Proportional to 1,133.82, 1,565.22 and 667.98

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Solution

The fourth proportional to 1,133.82, 1,565.22 and 667.98 is: 922.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,133.82 : 1,565.22 = 667.98 : x
  2. Step 2: Convert to fraction form
    1,133.82/1,565.22 = 667.98/x
  3. Step 3: Cross multiply
    1,133.82x = 1,565.22 × 667.98
  4. Step 4: Simplify right side
    1,133.82x = 1,045,535.66
  5. Step 5: Solve for x
    x = 1,045,535.66/1,133.82
  6. Step 6: Final answer
    x = 922.14

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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.