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Finding the Fourth Proportional to 898.14, 1,344.36 and 589.26

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Solution

The fourth proportional to 898.14, 1,344.36 and 589.26 is: 882.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    898.14 : 1,344.36 = 589.26 : x
  2. Step 2: Convert to fraction form
    898.14/1,344.36 = 589.26/x
  3. Step 3: Cross multiply
    898.14x = 1,344.36 × 589.26
  4. Step 4: Simplify right side
    898.14x = 792,177.57
  5. Step 5: Solve for x
    x = 792,177.57/898.14
  6. Step 6: Final answer
    x = 882.02

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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.