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Finding the Fourth Proportional to 824.82, 1,137.07 and 509.90

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Solution

The fourth proportional to 824.82, 1,137.07 and 509.90 is: 702.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    824.82 : 1,137.07 = 509.90 : x
  2. Step 2: Convert to fraction form
    824.82/1,137.07 = 509.90/x
  3. Step 3: Cross multiply
    824.82x = 1,137.07 × 509.90
  4. Step 4: Simplify right side
    824.82x = 579,786.95
  5. Step 5: Solve for x
    x = 579,786.95/824.82
  6. Step 6: Final answer
    x = 702.93

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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.