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Finding the Fourth Proportional to 856.86, 1,182.46 and 463.88

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Solution

The fourth proportional to 856.86, 1,182.46 and 463.88 is: 640.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    856.86 : 1,182.46 = 463.88 : x
  2. Step 2: Convert to fraction form
    856.86/1,182.46 = 463.88/x
  3. Step 3: Cross multiply
    856.86x = 1,182.46 × 463.88
  4. Step 4: Simplify right side
    856.86x = 548,521.60
  5. Step 5: Solve for x
    x = 548,521.60/856.86
  6. Step 6: Final answer
    x = 640.15

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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.