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Finding the Fourth Proportional to 1,390.90, 1,919.43 and 831.34

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Solution

The fourth proportional to 1,390.90, 1,919.43 and 831.34 is: 1,147.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,390.90 : 1,919.43 = 831.34 : x
  2. Step 2: Convert to fraction form
    1,390.90/1,919.43 = 831.34/x
  3. Step 3: Cross multiply
    1,390.90x = 1,919.43 × 831.34
  4. Step 4: Simplify right side
    1,390.90x = 1,595,699.44
  5. Step 5: Solve for x
    x = 1,595,699.44/1,390.90
  6. Step 6: Final answer
    x = 1,147.25

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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.