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Finding the Fourth Proportional to 742.05, 1,111.66 and 416.43

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Solution

The fourth proportional to 742.05, 1,111.66 and 416.43 is: 623.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    742.05 : 1,111.66 = 416.43 : x
  2. Step 2: Convert to fraction form
    742.05/1,111.66 = 416.43/x
  3. Step 3: Cross multiply
    742.05x = 1,111.66 × 416.43
  4. Step 4: Simplify right side
    742.05x = 462,927.53
  5. Step 5: Solve for x
    x = 462,927.53/742.05
  6. Step 6: Final answer
    x = 623.85

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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.