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Finding the Fourth Proportional to 1,217.52, 1,679.88 and 824.40

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Solution

The fourth proportional to 1,217.52, 1,679.88 and 824.40 is: 1,137.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,217.52 : 1,679.88 = 824.40 : x
  2. Step 2: Convert to fraction form
    1,217.52/1,679.88 = 824.40/x
  3. Step 3: Cross multiply
    1,217.52x = 1,679.88 × 824.40
  4. Step 4: Simplify right side
    1,217.52x = 1,384,893.07
  5. Step 5: Solve for x
    x = 1,384,893.07/1,217.52
  6. Step 6: Final answer
    x = 1,137.47

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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.