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Finding the Fourth Proportional to 1,577.70, 2,366.24 and 537.76

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Solution

The fourth proportional to 1,577.70, 2,366.24 and 537.76 is: 806.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,577.70 : 2,366.24 = 537.76 : x
  2. Step 2: Convert to fraction form
    1,577.70/2,366.24 = 537.76/x
  3. Step 3: Cross multiply
    1,577.70x = 2,366.24 × 537.76
  4. Step 4: Simplify right side
    1,577.70x = 1,272,469.22
  5. Step 5: Solve for x
    x = 1,272,469.22/1,577.70
  6. Step 6: Final answer
    x = 806.53

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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.