Home / 1,327.50-1,831.95-768.06

Finding the Fourth Proportional to 1,327.50, 1,831.95 and 768.06

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Solution

The fourth proportional to 1,327.50, 1,831.95 and 768.06 is: 1,059.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,327.50 : 1,831.95 = 768.06 : x
  2. Step 2: Convert to fraction form
    1,327.50/1,831.95 = 768.06/x
  3. Step 3: Cross multiply
    1,327.50x = 1,831.95 × 768.06
  4. Step 4: Simplify right side
    1,327.50x = 1,407,047.52
  5. Step 5: Solve for x
    x = 1,407,047.52/1,327.50
  6. Step 6: Final answer
    x = 1,059.92

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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.