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Finding the Fourth Proportional to 975.66, 1,346.22 and 582.72

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Solution

The fourth proportional to 975.66, 1,346.22 and 582.72 is: 804.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    975.66 : 1,346.22 = 582.72 : x
  2. Step 2: Convert to fraction form
    975.66/1,346.22 = 582.72/x
  3. Step 3: Cross multiply
    975.66x = 1,346.22 × 582.72
  4. Step 4: Simplify right side
    975.66x = 784,469.32
  5. Step 5: Solve for x
    x = 784,469.32/975.66
  6. Step 6: Final answer
    x = 804.04

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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.