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Finding the Fourth Proportional to 1,136.77, 1,568.64 and 632.59

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Solution

The fourth proportional to 1,136.77, 1,568.64 and 632.59 is: 872.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,136.77 : 1,568.64 = 632.59 : x
  2. Step 2: Convert to fraction form
    1,136.77/1,568.64 = 632.59/x
  3. Step 3: Cross multiply
    1,136.77x = 1,568.64 × 632.59
  4. Step 4: Simplify right side
    1,136.77x = 992,304.43
  5. Step 5: Solve for x
    x = 992,304.43/1,136.77
  6. Step 6: Final answer
    x = 872.92

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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.