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Finding the Fourth Proportional to 1,069.71, 1,604.81 and 453.45

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Solution

The fourth proportional to 1,069.71, 1,604.81 and 453.45 is: 680.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,069.71 : 1,604.81 = 453.45 : x
  2. Step 2: Convert to fraction form
    1,069.71/1,604.81 = 453.45/x
  3. Step 3: Cross multiply
    1,069.71x = 1,604.81 × 453.45
  4. Step 4: Simplify right side
    1,069.71x = 727,699.22
  5. Step 5: Solve for x
    x = 727,699.22/1,069.71
  6. Step 6: Final answer
    x = 680.28

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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.