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Finding the Fourth Proportional to 1,327.52, 1,831.64 and 830.40

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Solution

The fourth proportional to 1,327.52, 1,831.64 and 830.40 is: 1,145.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,327.52 : 1,831.64 = 830.40 : x
  2. Step 2: Convert to fraction form
    1,327.52/1,831.64 = 830.40/x
  3. Step 3: Cross multiply
    1,327.52x = 1,831.64 × 830.40
  4. Step 4: Simplify right side
    1,327.52x = 1,520,993.86
  5. Step 5: Solve for x
    x = 1,520,993.86/1,327.52
  6. Step 6: Final answer
    x = 1,145.74

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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.