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Finding the Fourth Proportional to 1,136.90, 1,704.51 and 434.01

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Solution

The fourth proportional to 1,136.90, 1,704.51 and 434.01 is: 650.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,136.90 : 1,704.51 = 434.01 : x
  2. Step 2: Convert to fraction form
    1,136.90/1,704.51 = 434.01/x
  3. Step 3: Cross multiply
    1,136.90x = 1,704.51 × 434.01
  4. Step 4: Simplify right side
    1,136.90x = 739,774.39
  5. Step 5: Solve for x
    x = 739,774.39/1,136.90
  6. Step 6: Final answer
    x = 650.69

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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.