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Finding the Fourth Proportional to 919.49, 1,377.86 and 786.93

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Solution

The fourth proportional to 919.49, 1,377.86 and 786.93 is: 1,179.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    919.49 : 1,377.86 = 786.93 : x
  2. Step 2: Convert to fraction form
    919.49/1,377.86 = 786.93/x
  3. Step 3: Cross multiply
    919.49x = 1,377.86 × 786.93
  4. Step 4: Simplify right side
    919.49x = 1,084,281.34
  5. Step 5: Solve for x
    x = 1,084,281.34/919.49
  6. Step 6: Final answer
    x = 1,179.22

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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.