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Finding the Fourth Proportional to 704.32, 1,056.37 and 443.52

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Solution

The fourth proportional to 704.32, 1,056.37 and 443.52 is: 665.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    704.32 : 1,056.37 = 443.52 : x
  2. Step 2: Convert to fraction form
    704.32/1,056.37 = 443.52/x
  3. Step 3: Cross multiply
    704.32x = 1,056.37 × 443.52
  4. Step 4: Simplify right side
    704.32x = 468,520.95
  5. Step 5: Solve for x
    x = 468,520.95/704.32
  6. Step 6: Final answer
    x = 665.21

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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.