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Finding the Fourth Proportional to 1,229.94, 1,696.62 and 898.02

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Solution

The fourth proportional to 1,229.94, 1,696.62 and 898.02 is: 1,238.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,229.94 : 1,696.62 = 898.02 : x
  2. Step 2: Convert to fraction form
    1,229.94/1,696.62 = 898.02/x
  3. Step 3: Cross multiply
    1,229.94x = 1,696.62 × 898.02
  4. Step 4: Simplify right side
    1,229.94x = 1,523,598.69
  5. Step 5: Solve for x
    x = 1,523,598.69/1,229.94
  6. Step 6: Final answer
    x = 1,238.76

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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.