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Finding the Fourth Proportional to 663.08, 995.70 and 582.60

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Solution

The fourth proportional to 663.08, 995.70 and 582.60 is: 874.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    663.08 : 995.70 = 582.60 : x
  2. Step 2: Convert to fraction form
    663.08/995.70 = 582.60/x
  3. Step 3: Cross multiply
    663.08x = 995.70 × 582.60
  4. Step 4: Simplify right side
    663.08x = 580,094.82
  5. Step 5: Solve for x
    x = 580,094.82/663.08
  6. Step 6: Final answer
    x = 874.85

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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.