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Finding the Fourth Proportional to 726.56, 1,090.07 and 356.60

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Solution

The fourth proportional to 726.56, 1,090.07 and 356.60 is: 535.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    726.56 : 1,090.07 = 356.60 : x
  2. Step 2: Convert to fraction form
    726.56/1,090.07 = 356.60/x
  3. Step 3: Cross multiply
    726.56x = 1,090.07 × 356.60
  4. Step 4: Simplify right side
    726.56x = 388,713.07
  5. Step 5: Solve for x
    x = 388,713.07/726.56
  6. Step 6: Final answer
    x = 535.00

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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.