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Finding the Fourth Proportional to 893.07, 1,345.69 and 734.31

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Solution

The fourth proportional to 893.07, 1,345.69 and 734.31 is: 1,106.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    893.07 : 1,345.69 = 734.31 : x
  2. Step 2: Convert to fraction form
    893.07/1,345.69 = 734.31/x
  3. Step 3: Cross multiply
    893.07x = 1,345.69 × 734.31
  4. Step 4: Simplify right side
    893.07x = 988,153.62
  5. Step 5: Solve for x
    x = 988,153.62/893.07
  6. Step 6: Final answer
    x = 1,106.47

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.