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Finding the Fourth Proportional to 704.13, 1,056.20 and 337.80

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Solution

The fourth proportional to 704.13, 1,056.20 and 337.80 is: 506.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    704.13 : 1,056.20 = 337.80 : x
  2. Step 2: Convert to fraction form
    704.13/1,056.20 = 337.80/x
  3. Step 3: Cross multiply
    704.13x = 1,056.20 × 337.80
  4. Step 4: Simplify right side
    704.13x = 356,782.67
  5. Step 5: Solve for x
    x = 356,782.67/704.13
  6. Step 6: Final answer
    x = 506.70

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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.