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Finding the Fourth Proportional to 1,300.80, 1,798.56 and 1,136.84

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Solution

The fourth proportional to 1,300.80, 1,798.56 and 1,136.84 is: 1,571.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,300.80 : 1,798.56 = 1,136.84 : x
  2. Step 2: Convert to fraction form
    1,300.80/1,798.56 = 1,136.84/x
  3. Step 3: Cross multiply
    1,300.80x = 1,798.56 × 1,136.84
  4. Step 4: Simplify right side
    1,300.80x = 2,044,674.95
  5. Step 5: Solve for x
    x = 2,044,674.95/1,300.80
  6. Step 6: Final answer
    x = 1,571.86

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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.