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Finding the Fourth Proportional to 1,600.39, 2,398.86 and 776.83

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Solution

The fourth proportional to 1,600.39, 2,398.86 and 776.83 is: 1,164.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,600.39 : 2,398.86 = 776.83 : x
  2. Step 2: Convert to fraction form
    1,600.39/2,398.86 = 776.83/x
  3. Step 3: Cross multiply
    1,600.39x = 2,398.86 × 776.83
  4. Step 4: Simplify right side
    1,600.39x = 1,863,506.41
  5. Step 5: Solve for x
    x = 1,863,506.41/1,600.39
  6. Step 6: Final answer
    x = 1,164.41

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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.