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Finding the Fourth Proportional to 1,169.92, 1,616 and 1,053.44

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Solution

The fourth proportional to 1,169.92, 1,616 and 1,053.44 is: 1,455.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,169.92 : 1,616 = 1,053.44 : x
  2. Step 2: Convert to fraction form
    1,169.92/1,616 = 1,053.44/x
  3. Step 3: Cross multiply
    1,169.92x = 1,616 × 1,053.44
  4. Step 4: Simplify right side
    1,169.92x = 1,702,359.04
  5. Step 5: Solve for x
    x = 1,702,359.04/1,169.92
  6. Step 6: Final answer
    x = 1,455.11

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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.