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Finding the Fourth Proportional to 769.98, 1,059.91 and 583.14

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Solution

The fourth proportional to 769.98, 1,059.91 and 583.14 is: 802.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    769.98 : 1,059.91 = 583.14 : x
  2. Step 2: Convert to fraction form
    769.98/1,059.91 = 583.14/x
  3. Step 3: Cross multiply
    769.98x = 1,059.91 × 583.14
  4. Step 4: Simplify right side
    769.98x = 618,074.46
  5. Step 5: Solve for x
    x = 618,074.46/769.98
  6. Step 6: Final answer
    x = 802.71

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.