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Finding the Fourth Proportional to 1,136.43, 1,704.65 and 972.41

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Solution

The fourth proportional to 1,136.43, 1,704.65 and 972.41 is: 1,458.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,136.43 : 1,704.65 = 972.41 : x
  2. Step 2: Convert to fraction form
    1,136.43/1,704.65 = 972.41/x
  3. Step 3: Cross multiply
    1,136.43x = 1,704.65 × 972.41
  4. Step 4: Simplify right side
    1,136.43x = 1,657,605.32
  5. Step 5: Solve for x
    x = 1,657,605.32/1,136.43
  6. Step 6: Final answer
    x = 1,458.61

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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.