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Finding the Fourth Proportional to 1,599.77, 2,397.92 and 776.21

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Solution

The fourth proportional to 1,599.77, 2,397.92 and 776.21 is: 1,163.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,599.77 : 2,397.92 = 776.21 : x
  2. Step 2: Convert to fraction form
    1,599.77/2,397.92 = 776.21/x
  3. Step 3: Cross multiply
    1,599.77x = 2,397.92 × 776.21
  4. Step 4: Simplify right side
    1,599.77x = 1,861,279.43
  5. Step 5: Solve for x
    x = 1,861,279.43/1,599.77
  6. Step 6: Final answer
    x = 1,163.47

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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.