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Finding the Fourth Proportional to 1,292.01, 1,937.91 and 367.59

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Solution

The fourth proportional to 1,292.01, 1,937.91 and 367.59 is: 551.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,292.01 : 1,937.91 = 367.59 : x
  2. Step 2: Convert to fraction form
    1,292.01/1,937.91 = 367.59/x
  3. Step 3: Cross multiply
    1,292.01x = 1,937.91 × 367.59
  4. Step 4: Simplify right side
    1,292.01x = 712,356.34
  5. Step 5: Solve for x
    x = 712,356.34/1,292.01
  6. Step 6: Final answer
    x = 551.36

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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.