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Finding the Fourth Proportional to 984.60, 1,477.11 and 291.27

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Solution

The fourth proportional to 984.60, 1,477.11 and 291.27 is: 436.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    984.60 : 1,477.11 = 291.27 : x
  2. Step 2: Convert to fraction form
    984.60/1,477.11 = 291.27/x
  3. Step 3: Cross multiply
    984.60x = 1,477.11 × 291.27
  4. Step 4: Simplify right side
    984.60x = 430,237.83
  5. Step 5: Solve for x
    x = 430,237.83/984.60
  6. Step 6: Final answer
    x = 436.97

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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.