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Finding the Fourth Proportional to 1,775.91, 2,664.17 and 543.20

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Solution

The fourth proportional to 1,775.91, 2,664.17 and 543.20 is: 814.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,775.91 : 2,664.17 = 543.20 : x
  2. Step 2: Convert to fraction form
    1,775.91/2,664.17 = 543.20/x
  3. Step 3: Cross multiply
    1,775.91x = 2,664.17 × 543.20
  4. Step 4: Simplify right side
    1,775.91x = 1,447,166.20
  5. Step 5: Solve for x
    x = 1,447,166.20/1,775.91
  6. Step 6: Final answer
    x = 814.89

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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.