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Finding the Fourth Proportional to 1,069.53, 1,605.66 and 582.92

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Solution

The fourth proportional to 1,069.53, 1,605.66 and 582.92 is: 875.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,069.53 : 1,605.66 = 582.92 : x
  2. Step 2: Convert to fraction form
    1,069.53/1,605.66 = 582.92/x
  3. Step 3: Cross multiply
    1,069.53x = 1,605.66 × 582.92
  4. Step 4: Simplify right side
    1,069.53x = 935,971.33
  5. Step 5: Solve for x
    x = 935,971.33/1,069.53
  6. Step 6: Final answer
    x = 875.12

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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.