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Finding the Fourth Proportional to 1,191.15, 1,783.49 and 612.81

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Solution

The fourth proportional to 1,191.15, 1,783.49 and 612.81 is: 917.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,191.15 : 1,783.49 = 612.81 : x
  2. Step 2: Convert to fraction form
    1,191.15/1,783.49 = 612.81/x
  3. Step 3: Cross multiply
    1,191.15x = 1,783.49 × 612.81
  4. Step 4: Simplify right side
    1,191.15x = 1,092,937.44
  5. Step 5: Solve for x
    x = 1,092,937.44/1,191.15
  6. Step 6: Final answer
    x = 917.55

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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.