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Finding the Fourth Proportional to 652.37, 978.55 and 550.31

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Solution

The fourth proportional to 652.37, 978.55 and 550.31 is: 825.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    652.37 : 978.55 = 550.31 : x
  2. Step 2: Convert to fraction form
    652.37/978.55 = 550.31/x
  3. Step 3: Cross multiply
    652.37x = 978.55 × 550.31
  4. Step 4: Simplify right side
    652.37x = 538,499.58
  5. Step 5: Solve for x
    x = 538,499.58/652.37
  6. Step 6: Final answer
    x = 825.46

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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.