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Finding the Fourth Proportional to 699.09, 1,052.71 and 517.76

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Solution

The fourth proportional to 699.09, 1,052.71 and 517.76 is: 779.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    699.09 : 1,052.71 = 517.76 : x
  2. Step 2: Convert to fraction form
    699.09/1,052.71 = 517.76/x
  3. Step 3: Cross multiply
    699.09x = 1,052.71 × 517.76
  4. Step 4: Simplify right side
    699.09x = 545,051.13
  5. Step 5: Solve for x
    x = 545,051.13/699.09
  6. Step 6: Final answer
    x = 779.66

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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.