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Finding the Fourth Proportional to 1,052.99, 1,453.14 and 580.91

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Solution

The fourth proportional to 1,052.99, 1,453.14 and 580.91 is: 801.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,052.99 : 1,453.14 = 580.91 : x
  2. Step 2: Convert to fraction form
    1,052.99/1,453.14 = 580.91/x
  3. Step 3: Cross multiply
    1,052.99x = 1,453.14 × 580.91
  4. Step 4: Simplify right side
    1,052.99x = 844,136.29
  5. Step 5: Solve for x
    x = 844,136.29/1,052.99
  6. Step 6: Final answer
    x = 801.66

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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.