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Finding the Fourth Proportional to 844.32, 1,267.28 and 459.84

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Solution

The fourth proportional to 844.32, 1,267.28 and 459.84 is: 690.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    844.32 : 1,267.28 = 459.84 : x
  2. Step 2: Convert to fraction form
    844.32/1,267.28 = 459.84/x
  3. Step 3: Cross multiply
    844.32x = 1,267.28 × 459.84
  4. Step 4: Simplify right side
    844.32x = 582,746.04
  5. Step 5: Solve for x
    x = 582,746.04/844.32
  6. Step 6: Final answer
    x = 690.20

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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.