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Finding the Fourth Proportional to 862.16, 1,189.84 and 582.95

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Solution

The fourth proportional to 862.16, 1,189.84 and 582.95 is: 804.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    862.16 : 1,189.84 = 582.95 : x
  2. Step 2: Convert to fraction form
    862.16/1,189.84 = 582.95/x
  3. Step 3: Cross multiply
    862.16x = 1,189.84 × 582.95
  4. Step 4: Simplify right side
    862.16x = 693,617.23
  5. Step 5: Solve for x
    x = 693,617.23/862.16
  6. Step 6: Final answer
    x = 804.51

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.