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Finding the Fourth Proportional to 1,361.53, 2,042.36 and 387.71

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Solution

The fourth proportional to 1,361.53, 2,042.36 and 387.71 is: 581.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,361.53 : 2,042.36 = 387.71 : x
  2. Step 2: Convert to fraction form
    1,361.53/2,042.36 = 387.71/x
  3. Step 3: Cross multiply
    1,361.53x = 2,042.36 × 387.71
  4. Step 4: Simplify right side
    1,361.53x = 791,831.25
  5. Step 5: Solve for x
    x = 791,831.25/1,361.53
  6. Step 6: Final answer
    x = 581.58

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.