Home / 1,421.07-1,960.77-831.49

Finding the Fourth Proportional to 1,421.07, 1,960.77 and 831.49

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Solution

The fourth proportional to 1,421.07, 1,960.77 and 831.49 is: 1,147.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,421.07 : 1,960.77 = 831.49 : x
  2. Step 2: Convert to fraction form
    1,421.07/1,960.77 = 831.49/x
  3. Step 3: Cross multiply
    1,421.07x = 1,960.77 × 831.49
  4. Step 4: Simplify right side
    1,421.07x = 1,630,350.84
  5. Step 5: Solve for x
    x = 1,630,350.84/1,421.07
  6. Step 6: Final answer
    x = 1,147.27

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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.