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Finding the Fourth Proportional to 1,069.97, 1,605.34 and 484.79

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Solution

The fourth proportional to 1,069.97, 1,605.34 and 484.79 is: 727.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,069.97 : 1,605.34 = 484.79 : x
  2. Step 2: Convert to fraction form
    1,069.97/1,605.34 = 484.79/x
  3. Step 3: Cross multiply
    1,069.97x = 1,605.34 × 484.79
  4. Step 4: Simplify right side
    1,069.97x = 778,245.36
  5. Step 5: Solve for x
    x = 778,245.36/1,069.97
  6. Step 6: Final answer
    x = 727.36

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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.