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Finding the Fourth Proportional to 856.96, 1,182.08 and 545.92

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Solution

The fourth proportional to 856.96, 1,182.08 and 545.92 is: 753.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    856.96 : 1,182.08 = 545.92 : x
  2. Step 2: Convert to fraction form
    856.96/1,182.08 = 545.92/x
  3. Step 3: Cross multiply
    856.96x = 1,182.08 × 545.92
  4. Step 4: Simplify right side
    856.96x = 645,321.11
  5. Step 5: Solve for x
    x = 645,321.11/856.96
  6. Step 6: Final answer
    x = 753.04

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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.