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Finding the Fourth Proportional to 1,067.60, 1,600.59 and 580.52

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Solution

The fourth proportional to 1,067.60, 1,600.59 and 580.52 is: 870.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,067.60 : 1,600.59 = 580.52 : x
  2. Step 2: Convert to fraction form
    1,067.60/1,600.59 = 580.52/x
  3. Step 3: Cross multiply
    1,067.60x = 1,600.59 × 580.52
  4. Step 4: Simplify right side
    1,067.60x = 929,174.51
  5. Step 5: Solve for x
    x = 929,174.51/1,067.60
  6. Step 6: Final answer
    x = 870.34

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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.