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Finding the Fourth Proportional to 856.46, 1,182.14 and 502.44

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Solution

The fourth proportional to 856.46, 1,182.14 and 502.44 is: 693.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    856.46 : 1,182.14 = 502.44 : x
  2. Step 2: Convert to fraction form
    856.46/1,182.14 = 502.44/x
  3. Step 3: Cross multiply
    856.46x = 1,182.14 × 502.44
  4. Step 4: Simplify right side
    856.46x = 593,951.24
  5. Step 5: Solve for x
    x = 593,951.24/856.46
  6. Step 6: Final answer
    x = 693.49

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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.