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Finding the Fourth Proportional to 920.23, 1,380.13 and 590.17

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Solution

The fourth proportional to 920.23, 1,380.13 and 590.17 is: 885.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    920.23 : 1,380.13 = 590.17 : x
  2. Step 2: Convert to fraction form
    920.23/1,380.13 = 590.17/x
  3. Step 3: Cross multiply
    920.23x = 1,380.13 × 590.17
  4. Step 4: Simplify right side
    920.23x = 814,511.32
  5. Step 5: Solve for x
    x = 814,511.32/920.23
  6. Step 6: Final answer
    x = 885.12

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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.