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Finding the Fourth Proportional to 633.92, 947.39 and 584.66

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Solution

The fourth proportional to 633.92, 947.39 and 584.66 is: 873.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    633.92 : 947.39 = 584.66 : x
  2. Step 2: Convert to fraction form
    633.92/947.39 = 584.66/x
  3. Step 3: Cross multiply
    633.92x = 947.39 × 584.66
  4. Step 4: Simplify right side
    633.92x = 553,898.11
  5. Step 5: Solve for x
    x = 553,898.11/633.92
  6. Step 6: Final answer
    x = 873.77

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.