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Finding the Fourth Proportional to 986.91, 1,477.94 and 833.82

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Solution

The fourth proportional to 986.91, 1,477.94 and 833.82 is: 1,248.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    986.91 : 1,477.94 = 833.82 : x
  2. Step 2: Convert to fraction form
    986.91/1,477.94 = 833.82/x
  3. Step 3: Cross multiply
    986.91x = 1,477.94 × 833.82
  4. Step 4: Simplify right side
    986.91x = 1,232,331.76
  5. Step 5: Solve for x
    x = 1,232,331.76/986.91
  6. Step 6: Final answer
    x = 1,248.68

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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.