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Finding the Fourth Proportional to 919.88, 1,376.62 and 753.42

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Solution

The fourth proportional to 919.88, 1,376.62 and 753.42 is: 1,127.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    919.88 : 1,376.62 = 753.42 : x
  2. Step 2: Convert to fraction form
    919.88/1,376.62 = 753.42/x
  3. Step 3: Cross multiply
    919.88x = 1,376.62 × 753.42
  4. Step 4: Simplify right side
    919.88x = 1,037,173.04
  5. Step 5: Solve for x
    x = 1,037,173.04/919.88
  6. Step 6: Final answer
    x = 1,127.51

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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.