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Finding the Fourth Proportional to 677.99, 1,016.27 and 385.13

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Solution

The fourth proportional to 677.99, 1,016.27 and 385.13 is: 577.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    677.99 : 1,016.27 = 385.13 : x
  2. Step 2: Convert to fraction form
    677.99/1,016.27 = 385.13/x
  3. Step 3: Cross multiply
    677.99x = 1,016.27 × 385.13
  4. Step 4: Simplify right side
    677.99x = 391,389.06
  5. Step 5: Solve for x
    x = 391,389.06/677.99
  6. Step 6: Final answer
    x = 577.28

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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.