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Finding the Fourth Proportional to 856.92, 1,182.53 and 463.94

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Solution

The fourth proportional to 856.92, 1,182.53 and 463.94 is: 640.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    856.92 : 1,182.53 = 463.94 : x
  2. Step 2: Convert to fraction form
    856.92/1,182.53 = 463.94/x
  3. Step 3: Cross multiply
    856.92x = 1,182.53 × 463.94
  4. Step 4: Simplify right side
    856.92x = 548,614.74
  5. Step 5: Solve for x
    x = 548,614.74/856.92
  6. Step 6: Final answer
    x = 640.22

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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.