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Finding the Fourth Proportional to 958.84, 1,428.17 and 898.84

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Solution

The fourth proportional to 958.84, 1,428.17 and 898.84 is: 1,338.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    958.84 : 1,428.17 = 898.84 : x
  2. Step 2: Convert to fraction form
    958.84/1,428.17 = 898.84/x
  3. Step 3: Cross multiply
    958.84x = 1,428.17 × 898.84
  4. Step 4: Simplify right side
    958.84x = 1,283,696.32
  5. Step 5: Solve for x
    x = 1,283,696.32/958.84
  6. Step 6: Final answer
    x = 1,338.80

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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.