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Finding the Fourth Proportional to 919.61, 1,378.49 and 528.82

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Solution

The fourth proportional to 919.61, 1,378.49 and 528.82 is: 792.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    919.61 : 1,378.49 = 528.82 : x
  2. Step 2: Convert to fraction form
    919.61/1,378.49 = 528.82/x
  3. Step 3: Cross multiply
    919.61x = 1,378.49 × 528.82
  4. Step 4: Simplify right side
    919.61x = 728,970.96
  5. Step 5: Solve for x
    x = 728,970.96/919.61
  6. Step 6: Final answer
    x = 792.69

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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.