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Finding the Fourth Proportional to 699.03, 1,052.63 and 517.70

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Solution

The fourth proportional to 699.03, 1,052.63 and 517.70 is: 779.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    699.03 : 1,052.63 = 517.70 : x
  2. Step 2: Convert to fraction form
    699.03/1,052.63 = 517.70/x
  3. Step 3: Cross multiply
    699.03x = 1,052.63 × 517.70
  4. Step 4: Simplify right side
    699.03x = 544,938.70
  5. Step 5: Solve for x
    x = 544,938.70/699.03
  6. Step 6: Final answer
    x = 779.56

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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.