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Finding the Fourth Proportional to 1,181.34, 1,772.19 and 565.02

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Solution

The fourth proportional to 1,181.34, 1,772.19 and 565.02 is: 847.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,181.34 : 1,772.19 = 565.02 : x
  2. Step 2: Convert to fraction form
    1,181.34/1,772.19 = 565.02/x
  3. Step 3: Cross multiply
    1,181.34x = 1,772.19 × 565.02
  4. Step 4: Simplify right side
    1,181.34x = 1,001,322.79
  5. Step 5: Solve for x
    x = 1,001,322.79/1,181.34
  6. Step 6: Final answer
    x = 847.62

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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.