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Finding the Fourth Proportional to 856.22, 1,181.61 and 483.19

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Solution

The fourth proportional to 856.22, 1,181.61 and 483.19 is: 666.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    856.22 : 1,181.61 = 483.19 : x
  2. Step 2: Convert to fraction form
    856.22/1,181.61 = 483.19/x
  3. Step 3: Cross multiply
    856.22x = 1,181.61 × 483.19
  4. Step 4: Simplify right side
    856.22x = 570,933.81
  5. Step 5: Solve for x
    x = 570,933.81/856.22
  6. Step 6: Final answer
    x = 666.81

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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.