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Finding the Fourth Proportional to 988.68, 1,491.83 and 948.76

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Solution

The fourth proportional to 988.68, 1,491.83 and 948.76 is: 1,431.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    988.68 : 1,491.83 = 948.76 : x
  2. Step 2: Convert to fraction form
    988.68/1,491.83 = 948.76/x
  3. Step 3: Cross multiply
    988.68x = 1,491.83 × 948.76
  4. Step 4: Simplify right side
    988.68x = 1,415,388.63
  5. Step 5: Solve for x
    x = 1,415,388.63/988.68
  6. Step 6: Final answer
    x = 1,431.59

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.