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Finding the Fourth Proportional to 856.33, 1,181.85 and 497.53

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Solution

The fourth proportional to 856.33, 1,181.85 and 497.53 is: 686.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    856.33 : 1,181.85 = 497.53 : x
  2. Step 2: Convert to fraction form
    856.33/1,181.85 = 497.53/x
  3. Step 3: Cross multiply
    856.33x = 1,181.85 × 497.53
  4. Step 4: Simplify right side
    856.33x = 588,008.24
  5. Step 5: Solve for x
    x = 588,008.24/856.33
  6. Step 6: Final answer
    x = 686.66

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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.