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Finding the Fourth Proportional to 1,757.69, 2,636.29 and 525.07

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Solution

The fourth proportional to 1,757.69, 2,636.29 and 525.07 is: 787.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,757.69 : 2,636.29 = 525.07 : x
  2. Step 2: Convert to fraction form
    1,757.69/2,636.29 = 525.07/x
  3. Step 3: Cross multiply
    1,757.69x = 2,636.29 × 525.07
  4. Step 4: Simplify right side
    1,757.69x = 1,384,236.79
  5. Step 5: Solve for x
    x = 1,384,236.79/1,757.69
  6. Step 6: Final answer
    x = 787.53

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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.