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Finding the Fourth Proportional to 1,136.84, 1,704.30 and 356.35

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Solution

The fourth proportional to 1,136.84, 1,704.30 and 356.35 is: 534.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,136.84 : 1,704.30 = 356.35 : x
  2. Step 2: Convert to fraction form
    1,136.84/1,704.30 = 356.35/x
  3. Step 3: Cross multiply
    1,136.84x = 1,704.30 × 356.35
  4. Step 4: Simplify right side
    1,136.84x = 607,320.12
  5. Step 5: Solve for x
    x = 607,320.12/1,136.84
  6. Step 6: Final answer
    x = 534.22

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.