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Finding the Fourth Proportional to 898.87, 1,348.38 and 282.67

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Solution

The fourth proportional to 898.87, 1,348.38 and 282.67 is: 424.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    898.87 : 1,348.38 = 282.67 : x
  2. Step 2: Convert to fraction form
    898.87/1,348.38 = 282.67/x
  3. Step 3: Cross multiply
    898.87x = 1,348.38 × 282.67
  4. Step 4: Simplify right side
    898.87x = 381,146.57
  5. Step 5: Solve for x
    x = 381,146.57/898.87
  6. Step 6: Final answer
    x = 424.03

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.