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Finding the Fourth Proportional to 1,069.66, 1,603.41 and 582.22

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Solution

The fourth proportional to 1,069.66, 1,603.41 and 582.22 is: 872.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,069.66 : 1,603.41 = 582.22 : x
  2. Step 2: Convert to fraction form
    1,069.66/1,603.41 = 582.22/x
  3. Step 3: Cross multiply
    1,069.66x = 1,603.41 × 582.22
  4. Step 4: Simplify right side
    1,069.66x = 933,537.37
  5. Step 5: Solve for x
    x = 933,537.37/1,069.66
  6. Step 6: Final answer
    x = 872.74

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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.