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Finding the Fourth Proportional to 784.34, 1,173.04 and 698.28

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Solution

The fourth proportional to 784.34, 1,173.04 and 698.28 is: 1,044.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    784.34 : 1,173.04 = 698.28 : x
  2. Step 2: Convert to fraction form
    784.34/1,173.04 = 698.28/x
  3. Step 3: Cross multiply
    784.34x = 1,173.04 × 698.28
  4. Step 4: Simplify right side
    784.34x = 819,110.37
  5. Step 5: Solve for x
    x = 819,110.37/784.34
  6. Step 6: Final answer
    x = 1,044.33

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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.