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Finding the Fourth Proportional to 1,053.06, 1,453.22 and 580.97

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Solution

The fourth proportional to 1,053.06, 1,453.22 and 580.97 is: 801.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,053.06 : 1,453.22 = 580.97 : x
  2. Step 2: Convert to fraction form
    1,053.06/1,453.22 = 580.97/x
  3. Step 3: Cross multiply
    1,053.06x = 1,453.22 × 580.97
  4. Step 4: Simplify right side
    1,053.06x = 844,275.04
  5. Step 5: Solve for x
    x = 844,275.04/1,053.06
  6. Step 6: Final answer
    x = 801.74

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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.