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Finding the Fourth Proportional to 1,069.48, 1,604.43 and 453.18

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Solution

The fourth proportional to 1,069.48, 1,604.43 and 453.18 is: 679.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,069.48 : 1,604.43 = 453.18 : x
  2. Step 2: Convert to fraction form
    1,069.48/1,604.43 = 453.18/x
  3. Step 3: Cross multiply
    1,069.48x = 1,604.43 × 453.18
  4. Step 4: Simplify right side
    1,069.48x = 727,095.59
  5. Step 5: Solve for x
    x = 727,095.59/1,069.48
  6. Step 6: Final answer
    x = 679.86

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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.