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Finding the Fourth Proportional to 783.34, 1,171.54 and 697.28

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Solution

The fourth proportional to 783.34, 1,171.54 and 697.28 is: 1,042.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    783.34 : 1,171.54 = 697.28 : x
  2. Step 2: Convert to fraction form
    783.34/1,171.54 = 697.28/x
  3. Step 3: Cross multiply
    783.34x = 1,171.54 × 697.28
  4. Step 4: Simplify right side
    783.34x = 816,891.41
  5. Step 5: Solve for x
    x = 816,891.41/783.34
  6. Step 6: Final answer
    x = 1,042.83

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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.