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Finding the Fourth Proportional to 1,136.52, 1,705.86 and 824.49

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Solution

The fourth proportional to 1,136.52, 1,705.86 and 824.49 is: 1,237.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,136.52 : 1,705.86 = 824.49 : x
  2. Step 2: Convert to fraction form
    1,136.52/1,705.86 = 824.49/x
  3. Step 3: Cross multiply
    1,136.52x = 1,705.86 × 824.49
  4. Step 4: Simplify right side
    1,136.52x = 1,406,464.51
  5. Step 5: Solve for x
    x = 1,406,464.51/1,136.52
  6. Step 6: Final answer
    x = 1,237.52

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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.