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Finding the Fourth Proportional to 1,390.86, 1,919.19 and 801.28

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Solution

The fourth proportional to 1,390.86, 1,919.19 and 801.28 is: 1,105.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,390.86 : 1,919.19 = 801.28 : x
  2. Step 2: Convert to fraction form
    1,390.86/1,919.19 = 801.28/x
  3. Step 3: Cross multiply
    1,390.86x = 1,919.19 × 801.28
  4. Step 4: Simplify right side
    1,390.86x = 1,537,808.56
  5. Step 5: Solve for x
    x = 1,537,808.56/1,390.86
  6. Step 6: Final answer
    x = 1,105.65

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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.