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Finding the Fourth Proportional to 1,292.22, 1,937.42 and 414.45

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Solution

The fourth proportional to 1,292.22, 1,937.42 and 414.45 is: 621.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,292.22 : 1,937.42 = 414.45 : x
  2. Step 2: Convert to fraction form
    1,292.22/1,937.42 = 414.45/x
  3. Step 3: Cross multiply
    1,292.22x = 1,937.42 × 414.45
  4. Step 4: Simplify right side
    1,292.22x = 802,963.20
  5. Step 5: Solve for x
    x = 802,963.20/1,292.22
  6. Step 6: Final answer
    x = 621.38

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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.