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Finding the Fourth Proportional to 898.44, 1,347.56 and 249.13

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Solution

The fourth proportional to 898.44, 1,347.56 and 249.13 is: 373.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    898.44 : 1,347.56 = 249.13 : x
  2. Step 2: Convert to fraction form
    898.44/1,347.56 = 249.13/x
  3. Step 3: Cross multiply
    898.44x = 1,347.56 × 249.13
  4. Step 4: Simplify right side
    898.44x = 335,710.89
  5. Step 5: Solve for x
    x = 335,710.89/898.44
  6. Step 6: Final answer
    x = 373.66

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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.