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Finding the Fourth Proportional to 867.24, 1,299.53 and 589.24

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Solution

The fourth proportional to 867.24, 1,299.53 and 589.24 is: 882.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    867.24 : 1,299.53 = 589.24 : x
  2. Step 2: Convert to fraction form
    867.24/1,299.53 = 589.24/x
  3. Step 3: Cross multiply
    867.24x = 1,299.53 × 589.24
  4. Step 4: Simplify right side
    867.24x = 765,735.06
  5. Step 5: Solve for x
    x = 765,735.06/867.24
  6. Step 6: Final answer
    x = 882.96

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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.