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Finding the Fourth Proportional to 704.93, 1,057.35 and 293.92

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Solution

The fourth proportional to 704.93, 1,057.35 and 293.92 is: 440.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    704.93 : 1,057.35 = 293.92 : x
  2. Step 2: Convert to fraction form
    704.93/1,057.35 = 293.92/x
  3. Step 3: Cross multiply
    704.93x = 1,057.35 × 293.92
  4. Step 4: Simplify right side
    704.93x = 310,776.31
  5. Step 5: Solve for x
    x = 310,776.31/704.93
  6. Step 6: Final answer
    x = 440.86

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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.