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Finding the Fourth Proportional to 856.08, 1,181.39 and 463.10

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Solution

The fourth proportional to 856.08, 1,181.39 and 463.10 is: 639.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    856.08 : 1,181.39 = 463.10 : x
  2. Step 2: Convert to fraction form
    856.08/1,181.39 = 463.10/x
  3. Step 3: Cross multiply
    856.08x = 1,181.39 × 463.10
  4. Step 4: Simplify right side
    856.08x = 547,093.49
  5. Step 5: Solve for x
    x = 547,093.49/856.08
  6. Step 6: Final answer
    x = 639.07

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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.