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Finding the Fourth Proportional to 1,757.74, 2,637.10 and 525.14

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Solution

The fourth proportional to 1,757.74, 2,637.10 and 525.14 is: 787.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,757.74 : 2,637.10 = 525.14 : x
  2. Step 2: Convert to fraction form
    1,757.74/2,637.10 = 525.14/x
  3. Step 3: Cross multiply
    1,757.74x = 2,637.10 × 525.14
  4. Step 4: Simplify right side
    1,757.74x = 1,384,846.69
  5. Step 5: Solve for x
    x = 1,384,846.69/1,757.74
  6. Step 6: Final answer
    x = 787.86

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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.