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Finding the Fourth Proportional to 741.18, 1,111.42 and 433.24

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Solution

The fourth proportional to 741.18, 1,111.42 and 433.24 is: 649.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    741.18 : 1,111.42 = 433.24 : x
  2. Step 2: Convert to fraction form
    741.18/1,111.42 = 433.24/x
  3. Step 3: Cross multiply
    741.18x = 1,111.42 × 433.24
  4. Step 4: Simplify right side
    741.18x = 481,511.60
  5. Step 5: Solve for x
    x = 481,511.60/741.18
  6. Step 6: Final answer
    x = 649.66

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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.