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Finding the Fourth Proportional to 926.83, 1,391.61 and 440.23

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Solution

The fourth proportional to 926.83, 1,391.61 and 440.23 is: 660.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    926.83 : 1,391.61 = 440.23 : x
  2. Step 2: Convert to fraction form
    926.83/1,391.61 = 440.23/x
  3. Step 3: Cross multiply
    926.83x = 1,391.61 × 440.23
  4. Step 4: Simplify right side
    926.83x = 612,628.47
  5. Step 5: Solve for x
    x = 612,628.47/926.83
  6. Step 6: Final answer
    x = 660.99

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.