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Finding the Fourth Proportional to 1,314.92, 1,970.90 and 664.29

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Solution

The fourth proportional to 1,314.92, 1,970.90 and 664.29 is: 995.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,314.92 : 1,970.90 = 664.29 : x
  2. Step 2: Convert to fraction form
    1,314.92/1,970.90 = 664.29/x
  3. Step 3: Cross multiply
    1,314.92x = 1,970.90 × 664.29
  4. Step 4: Simplify right side
    1,314.92x = 1,309,249.16
  5. Step 5: Solve for x
    x = 1,309,249.16/1,314.92
  6. Step 6: Final answer
    x = 995.69

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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.