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Finding the Fourth Proportional to 898.88, 1,347.78 and 609.44

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Solution

The fourth proportional to 898.88, 1,347.78 and 609.44 is: 913.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    898.88 : 1,347.78 = 609.44 : x
  2. Step 2: Convert to fraction form
    898.88/1,347.78 = 609.44/x
  3. Step 3: Cross multiply
    898.88x = 1,347.78 × 609.44
  4. Step 4: Simplify right side
    898.88x = 821,391.04
  5. Step 5: Solve for x
    x = 821,391.04/898.88
  6. Step 6: Final answer
    x = 913.79

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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.