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Finding the Fourth Proportional to 975.48, 1,462.28 and 564.24

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Solution

The fourth proportional to 975.48, 1,462.28 and 564.24 is: 845.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    975.48 : 1,462.28 = 564.24 : x
  2. Step 2: Convert to fraction form
    975.48/1,462.28 = 564.24/x
  3. Step 3: Cross multiply
    975.48x = 1,462.28 × 564.24
  4. Step 4: Simplify right side
    975.48x = 825,076.87
  5. Step 5: Solve for x
    x = 825,076.87/975.48
  6. Step 6: Final answer
    x = 845.82

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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.