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Finding the Fourth Proportional to 856.23, 1,181.61 and 524.67

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Solution

The fourth proportional to 856.23, 1,181.61 and 524.67 is: 724.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    856.23 : 1,181.61 = 524.67 : x
  2. Step 2: Convert to fraction form
    856.23/1,181.61 = 524.67/x
  3. Step 3: Cross multiply
    856.23x = 1,181.61 × 524.67
  4. Step 4: Simplify right side
    856.23x = 619,955.32
  5. Step 5: Solve for x
    x = 619,955.32/856.23
  6. Step 6: Final answer
    x = 724.05

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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.