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Finding the Fourth Proportional to 730.95, 1,008.63 and 416.22

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Solution

The fourth proportional to 730.95, 1,008.63 and 416.22 is: 574.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    730.95 : 1,008.63 = 416.22 : x
  2. Step 2: Convert to fraction form
    730.95/1,008.63 = 416.22/x
  3. Step 3: Cross multiply
    730.95x = 1,008.63 × 416.22
  4. Step 4: Simplify right side
    730.95x = 419,811.98
  5. Step 5: Solve for x
    x = 419,811.98/730.95
  6. Step 6: Final answer
    x = 574.34

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.