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Finding the Fourth Proportional to 704.76, 1,057.16 and 293.84

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Solution

The fourth proportional to 704.76, 1,057.16 and 293.84 is: 440.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    704.76 : 1,057.16 = 293.84 : x
  2. Step 2: Convert to fraction form
    704.76/1,057.16 = 293.84/x
  3. Step 3: Cross multiply
    704.76x = 1,057.16 × 293.84
  4. Step 4: Simplify right side
    704.76x = 310,635.89
  5. Step 5: Solve for x
    x = 310,635.89/704.76
  6. Step 6: Final answer
    x = 440.77

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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.