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Finding the Fourth Proportional to 800.69, 1,104.44 and 705.92

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Solution

The fourth proportional to 800.69, 1,104.44 and 705.92 is: 973.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    800.69 : 1,104.44 = 705.92 : x
  2. Step 2: Convert to fraction form
    800.69/1,104.44 = 705.92/x
  3. Step 3: Cross multiply
    800.69x = 1,104.44 × 705.92
  4. Step 4: Simplify right side
    800.69x = 779,637.23
  5. Step 5: Solve for x
    x = 779,637.23/800.69
  6. Step 6: Final answer
    x = 973.71

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.