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Finding the Fourth Proportional to 919.80, 1,381.32 and 612

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Solution

The fourth proportional to 919.80, 1,381.32 and 612 is: 919.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    919.80 : 1,381.32 = 612 : x
  2. Step 2: Convert to fraction form
    919.80/1,381.32 = 612/x
  3. Step 3: Cross multiply
    919.80x = 1,381.32 × 612
  4. Step 4: Simplify right side
    919.80x = 845,367.84
  5. Step 5: Solve for x
    x = 845,367.84/919.80
  6. Step 6: Final answer
    x = 919.08

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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.