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Finding the Fourth Proportional to 1,755.31, 2,632.96 and 522.71

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Solution

The fourth proportional to 1,755.31, 2,632.96 and 522.71 is: 784.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,755.31 : 2,632.96 = 522.71 : x
  2. Step 2: Convert to fraction form
    1,755.31/2,632.96 = 522.71/x
  3. Step 3: Cross multiply
    1,755.31x = 2,632.96 × 522.71
  4. Step 4: Simplify right side
    1,755.31x = 1,376,279.80
  5. Step 5: Solve for x
    x = 1,376,279.80/1,755.31
  6. Step 6: Final answer
    x = 784.07

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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.