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Finding the Fourth Proportional to 898.36, 1,344.78 and 654.82

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Solution

The fourth proportional to 898.36, 1,344.78 and 654.82 is: 980.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    898.36 : 1,344.78 = 654.82 : x
  2. Step 2: Convert to fraction form
    898.36/1,344.78 = 654.82/x
  3. Step 3: Cross multiply
    898.36x = 1,344.78 × 654.82
  4. Step 4: Simplify right side
    898.36x = 880,588.84
  5. Step 5: Solve for x
    x = 880,588.84/898.36
  6. Step 6: Final answer
    x = 980.22

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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.