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Finding the Fourth Proportional to 1,536.71, 2,305.83 and 612.92

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Solution

The fourth proportional to 1,536.71, 2,305.83 and 612.92 is: 919.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,536.71 : 2,305.83 = 612.92 : x
  2. Step 2: Convert to fraction form
    1,536.71/2,305.83 = 612.92/x
  3. Step 3: Cross multiply
    1,536.71x = 2,305.83 × 612.92
  4. Step 4: Simplify right side
    1,536.71x = 1,413,280.12
  5. Step 5: Solve for x
    x = 1,413,280.12/1,536.71
  6. Step 6: Final answer
    x = 919.68

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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.