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Finding the Fourth Proportional to 1,122.78, 1,684.14 and 506.13

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Solution

The fourth proportional to 1,122.78, 1,684.14 and 506.13 is: 759.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,122.78 : 1,684.14 = 506.13 : x
  2. Step 2: Convert to fraction form
    1,122.78/1,684.14 = 506.13/x
  3. Step 3: Cross multiply
    1,122.78x = 1,684.14 × 506.13
  4. Step 4: Simplify right side
    1,122.78x = 852,393.78
  5. Step 5: Solve for x
    x = 852,393.78/1,122.78
  6. Step 6: Final answer
    x = 759.18

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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.