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Finding the Fourth Proportional to 926.31, 1,389.85 and 406.04

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Solution

The fourth proportional to 926.31, 1,389.85 and 406.04 is: 609.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    926.31 : 1,389.85 = 406.04 : x
  2. Step 2: Convert to fraction form
    926.31/1,389.85 = 406.04/x
  3. Step 3: Cross multiply
    926.31x = 1,389.85 × 406.04
  4. Step 4: Simplify right side
    926.31x = 564,329.19
  5. Step 5: Solve for x
    x = 564,329.19/926.31
  6. Step 6: Final answer
    x = 609.23

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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.