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Finding the Fourth Proportional to 698.84, 1,052.33 and 517.52

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Solution

The fourth proportional to 698.84, 1,052.33 and 517.52 is: 779.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    698.84 : 1,052.33 = 517.52 : x
  2. Step 2: Convert to fraction form
    698.84/1,052.33 = 517.52/x
  3. Step 3: Cross multiply
    698.84x = 1,052.33 × 517.52
  4. Step 4: Simplify right side
    698.84x = 544,599.23
  5. Step 5: Solve for x
    x = 544,599.23/698.84
  6. Step 6: Final answer
    x = 779.29

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.