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Finding the Fourth Proportional to 1,098.49, 1,653.96 and 969.34

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Solution

The fourth proportional to 1,098.49, 1,653.96 and 969.34 is: 1,459.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,098.49 : 1,653.96 = 969.34 : x
  2. Step 2: Convert to fraction form
    1,098.49/1,653.96 = 969.34/x
  3. Step 3: Cross multiply
    1,098.49x = 1,653.96 × 969.34
  4. Step 4: Simplify right side
    1,098.49x = 1,603,249.59
  5. Step 5: Solve for x
    x = 1,603,249.59/1,098.49
  6. Step 6: Final answer
    x = 1,459.50

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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.