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Finding the Fourth Proportional to 726.92, 1,090.59 and 419.00

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Solution

The fourth proportional to 726.92, 1,090.59 and 419.00 is: 628.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    726.92 : 1,090.59 = 419.00 : x
  2. Step 2: Convert to fraction form
    726.92/1,090.59 = 419.00/x
  3. Step 3: Cross multiply
    726.92x = 1,090.59 × 419.00
  4. Step 4: Simplify right side
    726.92x = 456,951.76
  5. Step 5: Solve for x
    x = 456,951.76/726.92
  6. Step 6: Final answer
    x = 628.62

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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.