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Finding the Fourth Proportional to 1,067.16, 1,600.48 and 417.84

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Solution

The fourth proportional to 1,067.16, 1,600.48 and 417.84 is: 626.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,067.16 : 1,600.48 = 417.84 : x
  2. Step 2: Convert to fraction form
    1,067.16/1,600.48 = 417.84/x
  3. Step 3: Cross multiply
    1,067.16x = 1,600.48 × 417.84
  4. Step 4: Simplify right side
    1,067.16x = 668,744.56
  5. Step 5: Solve for x
    x = 668,744.56/1,067.16
  6. Step 6: Final answer
    x = 626.66

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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.