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Finding the Fourth Proportional to 1,069.29, 1,604.45 and 582.33

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Solution

The fourth proportional to 1,069.29, 1,604.45 and 582.33 is: 873.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,069.29 : 1,604.45 = 582.33 : x
  2. Step 2: Convert to fraction form
    1,069.29/1,604.45 = 582.33/x
  3. Step 3: Cross multiply
    1,069.29x = 1,604.45 × 582.33
  4. Step 4: Simplify right side
    1,069.29x = 934,316.46
  5. Step 5: Solve for x
    x = 934,316.46/1,069.29
  6. Step 6: Final answer
    x = 873.77

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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.