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Finding the Fourth Proportional to 919.84, 1,377.84 and 407.20

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Solution

The fourth proportional to 919.84, 1,377.84 and 407.20 is: 609.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    919.84 : 1,377.84 = 407.20 : x
  2. Step 2: Convert to fraction form
    919.84/1,377.84 = 407.20/x
  3. Step 3: Cross multiply
    919.84x = 1,377.84 × 407.20
  4. Step 4: Simplify right side
    919.84x = 561,056.45
  5. Step 5: Solve for x
    x = 561,056.45/919.84
  6. Step 6: Final answer
    x = 609.95

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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.