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Finding the Fourth Proportional to 704.40, 1,056.96 and 512.88

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Solution

The fourth proportional to 704.40, 1,056.96 and 512.88 is: 769.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    704.40 : 1,056.96 = 512.88 : x
  2. Step 2: Convert to fraction form
    704.40/1,056.96 = 512.88/x
  3. Step 3: Cross multiply
    704.40x = 1,056.96 × 512.88
  4. Step 4: Simplify right side
    704.40x = 542,093.64
  5. Step 5: Solve for x
    x = 542,093.64/704.40
  6. Step 6: Final answer
    x = 769.58

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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.