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Finding the Fourth Proportional to 1,398.24, 2,095.91 and 657.48

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Solution

The fourth proportional to 1,398.24, 2,095.91 and 657.48 is: 985.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,398.24 : 2,095.91 = 657.48 : x
  2. Step 2: Convert to fraction form
    1,398.24/2,095.91 = 657.48/x
  3. Step 3: Cross multiply
    1,398.24x = 2,095.91 × 657.48
  4. Step 4: Simplify right side
    1,398.24x = 1,378,015.62
  5. Step 5: Solve for x
    x = 1,378,015.62/1,398.24
  6. Step 6: Final answer
    x = 985.54

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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.