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Finding the Fourth Proportional to 898.46, 1,241.44 and 742.94

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Solution

The fourth proportional to 898.46, 1,241.44 and 742.94 is: 1,026.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    898.46 : 1,241.44 = 742.94 : x
  2. Step 2: Convert to fraction form
    898.46/1,241.44 = 742.94/x
  3. Step 3: Cross multiply
    898.46x = 1,241.44 × 742.94
  4. Step 4: Simplify right side
    898.46x = 922,315.43
  5. Step 5: Solve for x
    x = 922,315.43/898.46
  6. Step 6: Final answer
    x = 1,026.55

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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.