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Finding the Fourth Proportional to 1,378.51, 2,066.38 and 556.54

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Solution

The fourth proportional to 1,378.51, 2,066.38 and 556.54 is: 834.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,378.51 : 2,066.38 = 556.54 : x
  2. Step 2: Convert to fraction form
    1,378.51/2,066.38 = 556.54/x
  3. Step 3: Cross multiply
    1,378.51x = 2,066.38 × 556.54
  4. Step 4: Simplify right side
    1,378.51x = 1,150,023.13
  5. Step 5: Solve for x
    x = 1,150,023.13/1,378.51
  6. Step 6: Final answer
    x = 834.25

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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.