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Finding the Fourth Proportional to 898.57, 1,240.19 and 857.53

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Solution

The fourth proportional to 898.57, 1,240.19 and 857.53 is: 1,183.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    898.57 : 1,240.19 = 857.53 : x
  2. Step 2: Convert to fraction form
    898.57/1,240.19 = 857.53/x
  3. Step 3: Cross multiply
    898.57x = 1,240.19 × 857.53
  4. Step 4: Simplify right side
    898.57x = 1,063,495.84
  5. Step 5: Solve for x
    x = 1,063,495.84/898.57
  6. Step 6: Final answer
    x = 1,183.54

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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.