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Finding the Fourth Proportional to 1,261.79, 1,892.26 and 482.02

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Solution

The fourth proportional to 1,261.79, 1,892.26 and 482.02 is: 722.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,261.79 : 1,892.26 = 482.02 : x
  2. Step 2: Convert to fraction form
    1,261.79/1,892.26 = 482.02/x
  3. Step 3: Cross multiply
    1,261.79x = 1,892.26 × 482.02
  4. Step 4: Simplify right side
    1,261.79x = 912,108.33
  5. Step 5: Solve for x
    x = 912,108.33/1,261.79
  6. Step 6: Final answer
    x = 722.87

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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.