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Finding the Fourth Proportional to 1,181.84, 1,772.55 and 565.43

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Solution

The fourth proportional to 1,181.84, 1,772.55 and 565.43 is: 848.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,181.84 : 1,772.55 = 565.43 : x
  2. Step 2: Convert to fraction form
    1,181.84/1,772.55 = 565.43/x
  3. Step 3: Cross multiply
    1,181.84x = 1,772.55 × 565.43
  4. Step 4: Simplify right side
    1,181.84x = 1,002,244.08
  5. Step 5: Solve for x
    x = 1,002,244.08/1,181.84
  6. Step 6: Final answer
    x = 848.04

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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.