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Finding the Fourth Proportional to 856.76, 1,182.33 and 502.62

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Solution

The fourth proportional to 856.76, 1,182.33 and 502.62 is: 693.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    856.76 : 1,182.33 = 502.62 : x
  2. Step 2: Convert to fraction form
    856.76/1,182.33 = 502.62/x
  3. Step 3: Cross multiply
    856.76x = 1,182.33 × 502.62
  4. Step 4: Simplify right side
    856.76x = 594,262.70
  5. Step 5: Solve for x
    x = 594,262.70/856.76
  6. Step 6: Final answer
    x = 693.62

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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.