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Finding the Fourth Proportional to 898.49, 1,349.36 and 865.28

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Solution

The fourth proportional to 898.49, 1,349.36 and 865.28 is: 1,299.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    898.49 : 1,349.36 = 865.28 : x
  2. Step 2: Convert to fraction form
    898.49/1,349.36 = 865.28/x
  3. Step 3: Cross multiply
    898.49x = 1,349.36 × 865.28
  4. Step 4: Simplify right side
    898.49x = 1,167,576.51
  5. Step 5: Solve for x
    x = 1,167,576.51/898.49
  6. Step 6: Final answer
    x = 1,299.48

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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.