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Finding the Fourth Proportional to 740.72, 1,112.09 and 416.31

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Solution

The fourth proportional to 740.72, 1,112.09 and 416.31 is: 625.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    740.72 : 1,112.09 = 416.31 : x
  2. Step 2: Convert to fraction form
    740.72/1,112.09 = 416.31/x
  3. Step 3: Cross multiply
    740.72x = 1,112.09 × 416.31
  4. Step 4: Simplify right side
    740.72x = 462,972.11
  5. Step 5: Solve for x
    x = 462,972.11/740.72
  6. Step 6: Final answer
    x = 625.03

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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.