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Finding the Fourth Proportional to 687.78, 948.27 and 577.01

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Solution

The fourth proportional to 687.78, 948.27 and 577.01 is: 795.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    687.78 : 948.27 = 577.01 : x
  2. Step 2: Convert to fraction form
    687.78/948.27 = 577.01/x
  3. Step 3: Cross multiply
    687.78x = 948.27 × 577.01
  4. Step 4: Simplify right side
    687.78x = 547,161.27
  5. Step 5: Solve for x
    x = 547,161.27/687.78
  6. Step 6: Final answer
    x = 795.55

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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.