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Finding the Fourth Proportional to 1,421.34, 1,961.46 and 831.93

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Solution

The fourth proportional to 1,421.34, 1,961.46 and 831.93 is: 1,148.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,421.34 : 1,961.46 = 831.93 : x
  2. Step 2: Convert to fraction form
    1,421.34/1,961.46 = 831.93/x
  3. Step 3: Cross multiply
    1,421.34x = 1,961.46 × 831.93
  4. Step 4: Simplify right side
    1,421.34x = 1,631,797.42
  5. Step 5: Solve for x
    x = 1,631,797.42/1,421.34
  6. Step 6: Final answer
    x = 1,148.07

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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.