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Finding the Fourth Proportional to 1,761.72, 2,642.63 and 529.00

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Solution

The fourth proportional to 1,761.72, 2,642.63 and 529.00 is: 793.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,761.72 : 2,642.63 = 529.00 : x
  2. Step 2: Convert to fraction form
    1,761.72/2,642.63 = 529.00/x
  3. Step 3: Cross multiply
    1,761.72x = 2,642.63 × 529.00
  4. Step 4: Simplify right side
    1,761.72x = 1,397,942.02
  5. Step 5: Solve for x
    x = 1,397,942.02/1,761.72
  6. Step 6: Final answer
    x = 793.51

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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.