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Finding the Fourth Proportional to 1,199.35, 1,654.86 and 919.90

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Solution

The fourth proportional to 1,199.35, 1,654.86 and 919.90 is: 1,269.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,199.35 : 1,654.86 = 919.90 : x
  2. Step 2: Convert to fraction form
    1,199.35/1,654.86 = 919.90/x
  3. Step 3: Cross multiply
    1,199.35x = 1,654.86 × 919.90
  4. Step 4: Simplify right side
    1,199.35x = 1,522,305.71
  5. Step 5: Solve for x
    x = 1,522,305.71/1,199.35
  6. Step 6: Final answer
    x = 1,269.28

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.