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Finding the Fourth Proportional to 944.73, 1,407.52 and 898.27

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Solution

The fourth proportional to 944.73, 1,407.52 and 898.27 is: 1,338.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    944.73 : 1,407.52 = 898.27 : x
  2. Step 2: Convert to fraction form
    944.73/1,407.52 = 898.27/x
  3. Step 3: Cross multiply
    944.73x = 1,407.52 × 898.27
  4. Step 4: Simplify right side
    944.73x = 1,264,332.99
  5. Step 5: Solve for x
    x = 1,264,332.99/944.73
  6. Step 6: Final answer
    x = 1,338.30

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.