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Finding the Fourth Proportional to 898.41, 1,240.25 and 600.15

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Solution

The fourth proportional to 898.41, 1,240.25 and 600.15 is: 828.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    898.41 : 1,240.25 = 600.15 : x
  2. Step 2: Convert to fraction form
    898.41/1,240.25 = 600.15/x
  3. Step 3: Cross multiply
    898.41x = 1,240.25 × 600.15
  4. Step 4: Simplify right side
    898.41x = 744,333.04
  5. Step 5: Solve for x
    x = 744,333.04/898.41
  6. Step 6: Final answer
    x = 828.50

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.