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Finding the Fourth Proportional to 856.73, 1,182.30 and 502.86

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Solution

The fourth proportional to 856.73, 1,182.30 and 502.86 is: 693.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    856.73 : 1,182.30 = 502.86 : x
  2. Step 2: Convert to fraction form
    856.73/1,182.30 = 502.86/x
  3. Step 3: Cross multiply
    856.73x = 1,182.30 × 502.86
  4. Step 4: Simplify right side
    856.73x = 594,533.93
  5. Step 5: Solve for x
    x = 594,533.93/856.73
  6. Step 6: Final answer
    x = 693.96

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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.