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Finding the Fourth Proportional to 841.23, 1,261.83 and 496.95

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Solution

The fourth proportional to 841.23, 1,261.83 and 496.95 is: 745.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    841.23 : 1,261.83 = 496.95 : x
  2. Step 2: Convert to fraction form
    841.23/1,261.83 = 496.95/x
  3. Step 3: Cross multiply
    841.23x = 1,261.83 × 496.95
  4. Step 4: Simplify right side
    841.23x = 627,066.42
  5. Step 5: Solve for x
    x = 627,066.42/841.23
  6. Step 6: Final answer
    x = 745.42

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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.