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Finding the Fourth Proportional to 856.41, 1,181.93 and 502.31

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Solution

The fourth proportional to 856.41, 1,181.93 and 502.31 is: 693.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    856.41 : 1,181.93 = 502.31 : x
  2. Step 2: Convert to fraction form
    856.41/1,181.93 = 502.31/x
  3. Step 3: Cross multiply
    856.41x = 1,181.93 × 502.31
  4. Step 4: Simplify right side
    856.41x = 593,695.26
  5. Step 5: Solve for x
    x = 593,695.26/856.41
  6. Step 6: Final answer
    x = 693.24

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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.