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Finding the Fourth Proportional to 1,005.86, 1,388.09 and 563.77

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Solution

The fourth proportional to 1,005.86, 1,388.09 and 563.77 is: 777.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,005.86 : 1,388.09 = 563.77 : x
  2. Step 2: Convert to fraction form
    1,005.86/1,388.09 = 563.77/x
  3. Step 3: Cross multiply
    1,005.86x = 1,388.09 × 563.77
  4. Step 4: Simplify right side
    1,005.86x = 782,553.74
  5. Step 5: Solve for x
    x = 782,553.74/1,005.86
  6. Step 6: Final answer
    x = 777.99

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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.