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Finding the Fourth Proportional to 1,120.69, 1,680.88 and 299.00

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Solution

The fourth proportional to 1,120.69, 1,680.88 and 299.00 is: 448.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,120.69 : 1,680.88 = 299.00 : x
  2. Step 2: Convert to fraction form
    1,120.69/1,680.88 = 299.00/x
  3. Step 3: Cross multiply
    1,120.69x = 1,680.88 × 299.00
  4. Step 4: Simplify right side
    1,120.69x = 502,588.66
  5. Step 5: Solve for x
    x = 502,588.66/1,120.69
  6. Step 6: Final answer
    x = 448.47

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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.