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Finding the Fourth Proportional to 856.95, 1,182.59 and 463.97

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Solution

The fourth proportional to 856.95, 1,182.59 and 463.97 is: 640.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    856.95 : 1,182.59 = 463.97 : x
  2. Step 2: Convert to fraction form
    856.95/1,182.59 = 463.97/x
  3. Step 3: Cross multiply
    856.95x = 1,182.59 × 463.97
  4. Step 4: Simplify right side
    856.95x = 548,683.96
  5. Step 5: Solve for x
    x = 548,683.96/856.95
  6. Step 6: Final answer
    x = 640.28

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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.