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Finding the Fourth Proportional to 856.32, 1,181.73 and 502.17

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Solution

The fourth proportional to 856.32, 1,181.73 and 502.17 is: 693.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    856.32 : 1,181.73 = 502.17 : x
  2. Step 2: Convert to fraction form
    856.32/1,181.73 = 502.17/x
  3. Step 3: Cross multiply
    856.32x = 1,181.73 × 502.17
  4. Step 4: Simplify right side
    856.32x = 593,429.35
  5. Step 5: Solve for x
    x = 593,429.35/856.32
  6. Step 6: Final answer
    x = 693.00

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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.