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Finding the Fourth Proportional to 1,098.21, 1,511.49 and 962.88

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Solution

The fourth proportional to 1,098.21, 1,511.49 and 962.88 is: 1,325.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,098.21 : 1,511.49 = 962.88 : x
  2. Step 2: Convert to fraction form
    1,098.21/1,511.49 = 962.88/x
  3. Step 3: Cross multiply
    1,098.21x = 1,511.49 × 962.88
  4. Step 4: Simplify right side
    1,098.21x = 1,455,383.49
  5. Step 5: Solve for x
    x = 1,455,383.49/1,098.21
  6. Step 6: Final answer
    x = 1,325.23

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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.