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Finding the Fourth Proportional to 704.52, 1,056.76 and 314.88

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Solution

The fourth proportional to 704.52, 1,056.76 and 314.88 is: 472.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    704.52 : 1,056.76 = 314.88 : x
  2. Step 2: Convert to fraction form
    704.52/1,056.76 = 314.88/x
  3. Step 3: Cross multiply
    704.52x = 1,056.76 × 314.88
  4. Step 4: Simplify right side
    704.52x = 332,752.59
  5. Step 5: Solve for x
    x = 332,752.59/704.52
  6. Step 6: Final answer
    x = 472.31

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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.