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Finding the Fourth Proportional to 1,014.92, 1,400.39 and 621.66

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Solution

The fourth proportional to 1,014.92, 1,400.39 and 621.66 is: 857.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,014.92 : 1,400.39 = 621.66 : x
  2. Step 2: Convert to fraction form
    1,014.92/1,400.39 = 621.66/x
  3. Step 3: Cross multiply
    1,014.92x = 1,400.39 × 621.66
  4. Step 4: Simplify right side
    1,014.92x = 870,563.34
  5. Step 5: Solve for x
    x = 870,563.34/1,014.92
  6. Step 6: Final answer
    x = 857.77

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.