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Finding the Fourth Proportional to 1,079.52, 1,618.98 and 299.34

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Solution

The fourth proportional to 1,079.52, 1,618.98 and 299.34 is: 448.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,079.52 : 1,618.98 = 299.34 : x
  2. Step 2: Convert to fraction form
    1,079.52/1,618.98 = 299.34/x
  3. Step 3: Cross multiply
    1,079.52x = 1,618.98 × 299.34
  4. Step 4: Simplify right side
    1,079.52x = 484,625.47
  5. Step 5: Solve for x
    x = 484,625.47/1,079.52
  6. Step 6: Final answer
    x = 448.93

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.