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Finding the Fourth Proportional to 1,577.75, 2,366.42 and 537.71

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Solution

The fourth proportional to 1,577.75, 2,366.42 and 537.71 is: 806.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,577.75 : 2,366.42 = 537.71 : x
  2. Step 2: Convert to fraction form
    1,577.75/2,366.42 = 537.71/x
  3. Step 3: Cross multiply
    1,577.75x = 2,366.42 × 537.71
  4. Step 4: Simplify right side
    1,577.75x = 1,272,433.18
  5. Step 5: Solve for x
    x = 1,272,433.18/1,577.75
  6. Step 6: Final answer
    x = 806.49

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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.