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Finding the Fourth Proportional to 1,053.09, 1,453.20 and 580.96

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Solution

The fourth proportional to 1,053.09, 1,453.20 and 580.96 is: 801.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,053.09 : 1,453.20 = 580.96 : x
  2. Step 2: Convert to fraction form
    1,053.09/1,453.20 = 580.96/x
  3. Step 3: Cross multiply
    1,053.09x = 1,453.20 × 580.96
  4. Step 4: Simplify right side
    1,053.09x = 844,251.07
  5. Step 5: Solve for x
    x = 844,251.07/1,053.09
  6. Step 6: Final answer
    x = 801.69

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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.