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Finding the Fourth Proportional to 1,244.53, 1,717.30 and 824.25

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Solution

The fourth proportional to 1,244.53, 1,717.30 and 824.25 is: 1,137.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,244.53 : 1,717.30 = 824.25 : x
  2. Step 2: Convert to fraction form
    1,244.53/1,717.30 = 824.25/x
  3. Step 3: Cross multiply
    1,244.53x = 1,717.30 × 824.25
  4. Step 4: Simplify right side
    1,244.53x = 1,415,484.53
  5. Step 5: Solve for x
    x = 1,415,484.53/1,244.53
  6. Step 6: Final answer
    x = 1,137.36

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.