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Finding the Fourth Proportional to 898.36, 1,346.49 and 551.14

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Solution

The fourth proportional to 898.36, 1,346.49 and 551.14 is: 826.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    898.36 : 1,346.49 = 551.14 : x
  2. Step 2: Convert to fraction form
    898.36/1,346.49 = 551.14/x
  3. Step 3: Cross multiply
    898.36x = 1,346.49 × 551.14
  4. Step 4: Simplify right side
    898.36x = 742,101.13
  5. Step 5: Solve for x
    x = 742,101.13/898.36
  6. Step 6: Final answer
    x = 826.06

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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.