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Finding the Fourth Proportional to 975.52, 1,346.48 and 582.56

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Solution

The fourth proportional to 975.52, 1,346.48 and 582.56 is: 804.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    975.52 : 1,346.48 = 582.56 : x
  2. Step 2: Convert to fraction form
    975.52/1,346.48 = 582.56/x
  3. Step 3: Cross multiply
    975.52x = 1,346.48 × 582.56
  4. Step 4: Simplify right side
    975.52x = 784,405.39
  5. Step 5: Solve for x
    x = 784,405.39/975.52
  6. Step 6: Final answer
    x = 804.09

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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.