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Finding the Fourth Proportional to 1,390.44, 1,918.46 and 800.84

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Solution

The fourth proportional to 1,390.44, 1,918.46 and 800.84 is: 1,104.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,390.44 : 1,918.46 = 800.84 : x
  2. Step 2: Convert to fraction form
    1,390.44/1,918.46 = 800.84/x
  3. Step 3: Cross multiply
    1,390.44x = 1,918.46 × 800.84
  4. Step 4: Simplify right side
    1,390.44x = 1,536,379.51
  5. Step 5: Solve for x
    x = 1,536,379.51/1,390.44
  6. Step 6: Final answer
    x = 1,104.96

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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.