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Finding the Fourth Proportional to 856.43, 1,181.88 and 463.46

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Solution

The fourth proportional to 856.43, 1,181.88 and 463.46 is: 639.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    856.43 : 1,181.88 = 463.46 : x
  2. Step 2: Convert to fraction form
    856.43/1,181.88 = 463.46/x
  3. Step 3: Cross multiply
    856.43x = 1,181.88 × 463.46
  4. Step 4: Simplify right side
    856.43x = 547,748.06
  5. Step 5: Solve for x
    x = 547,748.06/856.43
  6. Step 6: Final answer
    x = 639.57

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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.