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Finding the Fourth Proportional to 856.85, 1,182.33 and 502.74

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Solution

The fourth proportional to 856.85, 1,182.33 and 502.74 is: 693.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    856.85 : 1,182.33 = 502.74 : x
  2. Step 2: Convert to fraction form
    856.85/1,182.33 = 502.74/x
  3. Step 3: Cross multiply
    856.85x = 1,182.33 × 502.74
  4. Step 4: Simplify right side
    856.85x = 594,404.58
  5. Step 5: Solve for x
    x = 594,404.58/856.85
  6. Step 6: Final answer
    x = 693.71

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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.