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Finding the Fourth Proportional to 1,327.56, 1,831.52 and 803.40

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Solution

The fourth proportional to 1,327.56, 1,831.52 and 803.40 is: 1,108.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,327.56 : 1,831.52 = 803.40 : x
  2. Step 2: Convert to fraction form
    1,327.56/1,831.52 = 803.40/x
  3. Step 3: Cross multiply
    1,327.56x = 1,831.52 × 803.40
  4. Step 4: Simplify right side
    1,327.56x = 1,471,443.17
  5. Step 5: Solve for x
    x = 1,471,443.17/1,327.56
  6. Step 6: Final answer
    x = 1,108.38

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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.