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Finding the Fourth Proportional to 784.32, 1,173.84 and 561.44

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Solution

The fourth proportional to 784.32, 1,173.84 and 561.44 is: 840.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    784.32 : 1,173.84 = 561.44 : x
  2. Step 2: Convert to fraction form
    784.32/1,173.84 = 561.44/x
  3. Step 3: Cross multiply
    784.32x = 1,173.84 × 561.44
  4. Step 4: Simplify right side
    784.32x = 659,040.73
  5. Step 5: Solve for x
    x = 659,040.73/784.32
  6. Step 6: Final answer
    x = 840.27

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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.