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Finding the Fourth Proportional to 631.70, 947.82 and 577.97

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Solution

The fourth proportional to 631.70, 947.82 and 577.97 is: 867.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    631.70 : 947.82 = 577.97 : x
  2. Step 2: Convert to fraction form
    631.70/947.82 = 577.97/x
  3. Step 3: Cross multiply
    631.70x = 947.82 × 577.97
  4. Step 4: Simplify right side
    631.70x = 547,811.53
  5. Step 5: Solve for x
    x = 547,811.53/631.70
  6. Step 6: Final answer
    x = 867.20

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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.