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Finding the Fourth Proportional to 740.56, 1,111.29 and 734.44

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Solution

The fourth proportional to 740.56, 1,111.29 and 734.44 is: 1,102.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    740.56 : 1,111.29 = 734.44 : x
  2. Step 2: Convert to fraction form
    740.56/1,111.29 = 734.44/x
  3. Step 3: Cross multiply
    740.56x = 1,111.29 × 734.44
  4. Step 4: Simplify right side
    740.56x = 816,175.83
  5. Step 5: Solve for x
    x = 816,175.83/740.56
  6. Step 6: Final answer
    x = 1,102.11

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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.