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Finding the Fourth Proportional to 1,053.04, 1,453.13 and 580.94

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Solution

The fourth proportional to 1,053.04, 1,453.13 and 580.94 is: 801.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,053.04 : 1,453.13 = 580.94 : x
  2. Step 2: Convert to fraction form
    1,053.04/1,453.13 = 580.94/x
  3. Step 3: Cross multiply
    1,053.04x = 1,453.13 × 580.94
  4. Step 4: Simplify right side
    1,053.04x = 844,171.17
  5. Step 5: Solve for x
    x = 844,171.17/1,053.04
  6. Step 6: Final answer
    x = 801.66

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.