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Finding the Fourth Proportional to 1,378.08, 2,066.40 and 511.92

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Solution

The fourth proportional to 1,378.08, 2,066.40 and 511.92 is: 767.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,378.08 : 2,066.40 = 511.92 : x
  2. Step 2: Convert to fraction form
    1,378.08/2,066.40 = 511.92/x
  3. Step 3: Cross multiply
    1,378.08x = 2,066.40 × 511.92
  4. Step 4: Simplify right side
    1,378.08x = 1,057,831.49
  5. Step 5: Solve for x
    x = 1,057,831.49/1,378.08
  6. Step 6: Final answer
    x = 767.61

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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.