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Finding the Fourth Proportional to 1,293.22, 1,939.81 and 319.32

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Solution

The fourth proportional to 1,293.22, 1,939.81 and 319.32 is: 478.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,293.22 : 1,939.81 = 319.32 : x
  2. Step 2: Convert to fraction form
    1,293.22/1,939.81 = 319.32/x
  3. Step 3: Cross multiply
    1,293.22x = 1,939.81 × 319.32
  4. Step 4: Simplify right side
    1,293.22x = 619,420.13
  5. Step 5: Solve for x
    x = 619,420.13/1,293.22
  6. Step 6: Final answer
    x = 478.98

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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.