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Finding the Fourth Proportional to 1,775.98, 2,663.94 and 477.56

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Solution

The fourth proportional to 1,775.98, 2,663.94 and 477.56 is: 716.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,775.98 : 2,663.94 = 477.56 : x
  2. Step 2: Convert to fraction form
    1,775.98/2,663.94 = 477.56/x
  3. Step 3: Cross multiply
    1,775.98x = 2,663.94 × 477.56
  4. Step 4: Simplify right side
    1,775.98x = 1,272,191.19
  5. Step 5: Solve for x
    x = 1,272,191.19/1,775.98
  6. Step 6: Final answer
    x = 716.33

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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.