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Finding the Fourth Proportional to 856.43, 1,182.17 and 502.47

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Solution

The fourth proportional to 856.43, 1,182.17 and 502.47 is: 693.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    856.43 : 1,182.17 = 502.47 : x
  2. Step 2: Convert to fraction form
    856.43/1,182.17 = 502.47/x
  3. Step 3: Cross multiply
    856.43x = 1,182.17 × 502.47
  4. Step 4: Simplify right side
    856.43x = 594,004.96
  5. Step 5: Solve for x
    x = 594,004.96/856.43
  6. Step 6: Final answer
    x = 693.58

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.