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Finding the Fourth Proportional to 726.64, 1,089.60 and 264.40

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Solution

The fourth proportional to 726.64, 1,089.60 and 264.40 is: 396.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    726.64 : 1,089.60 = 264.40 : x
  2. Step 2: Convert to fraction form
    726.64/1,089.60 = 264.40/x
  3. Step 3: Cross multiply
    726.64x = 1,089.60 × 264.40
  4. Step 4: Simplify right side
    726.64x = 288,090.24
  5. Step 5: Solve for x
    x = 288,090.24/726.64
  6. Step 6: Final answer
    x = 396.47

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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.