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Finding the Fourth Proportional to 1,136.27, 1,705.08 and 1,064.28

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Solution

The fourth proportional to 1,136.27, 1,705.08 and 1,064.28 is: 1,597.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,136.27 : 1,705.08 = 1,064.28 : x
  2. Step 2: Convert to fraction form
    1,136.27/1,705.08 = 1,064.28/x
  3. Step 3: Cross multiply
    1,136.27x = 1,705.08 × 1,064.28
  4. Step 4: Simplify right side
    1,136.27x = 1,814,682.54
  5. Step 5: Solve for x
    x = 1,814,682.54/1,136.27
  6. Step 6: Final answer
    x = 1,597.05

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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.