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Finding the Fourth Proportional to 1,167.66, 1,611.24 and 643.56

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Solution

The fourth proportional to 1,167.66, 1,611.24 and 643.56 is: 888.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,167.66 : 1,611.24 = 643.56 : x
  2. Step 2: Convert to fraction form
    1,167.66/1,611.24 = 643.56/x
  3. Step 3: Cross multiply
    1,167.66x = 1,611.24 × 643.56
  4. Step 4: Simplify right side
    1,167.66x = 1,036,929.61
  5. Step 5: Solve for x
    x = 1,036,929.61/1,167.66
  6. Step 6: Final answer
    x = 888.04

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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.