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Finding the Fourth Proportional to 1,136.37, 1,568.16 and 639.02

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Solution

The fourth proportional to 1,136.37, 1,568.16 and 639.02 is: 881.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,136.37 : 1,568.16 = 639.02 : x
  2. Step 2: Convert to fraction form
    1,136.37/1,568.16 = 639.02/x
  3. Step 3: Cross multiply
    1,136.37x = 1,568.16 × 639.02
  4. Step 4: Simplify right side
    1,136.37x = 1,002,077.76
  5. Step 5: Solve for x
    x = 1,002,077.76/1,136.37
  6. Step 6: Final answer
    x = 881.82

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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.