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Finding the Fourth Proportional to 856.49, 1,181.69 and 524.57

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Solution

The fourth proportional to 856.49, 1,181.69 and 524.57 is: 723.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    856.49 : 1,181.69 = 524.57 : x
  2. Step 2: Convert to fraction form
    856.49/1,181.69 = 524.57/x
  3. Step 3: Cross multiply
    856.49x = 1,181.69 × 524.57
  4. Step 4: Simplify right side
    856.49x = 619,870.59
  5. Step 5: Solve for x
    x = 619,870.59/856.49
  6. Step 6: Final answer
    x = 723.74

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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.