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Finding the Fourth Proportional to 893.97, 1,340.39 and 430.83

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Solution

The fourth proportional to 893.97, 1,340.39 and 430.83 is: 645.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    893.97 : 1,340.39 = 430.83 : x
  2. Step 2: Convert to fraction form
    893.97/1,340.39 = 430.83/x
  3. Step 3: Cross multiply
    893.97x = 1,340.39 × 430.83
  4. Step 4: Simplify right side
    893.97x = 577,480.22
  5. Step 5: Solve for x
    x = 577,480.22/893.97
  6. Step 6: Final answer
    x = 645.97

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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.