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Finding the Fourth Proportional to 801.70, 1,196.72 and 704.50

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Solution

The fourth proportional to 801.70, 1,196.72 and 704.50 is: 1,051.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    801.70 : 1,196.72 = 704.50 : x
  2. Step 2: Convert to fraction form
    801.70/1,196.72 = 704.50/x
  3. Step 3: Cross multiply
    801.70x = 1,196.72 × 704.50
  4. Step 4: Simplify right side
    801.70x = 843,089.24
  5. Step 5: Solve for x
    x = 843,089.24/801.70
  6. Step 6: Final answer
    x = 1,051.63

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.