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Finding the Fourth Proportional to 856.68, 1,181.70 and 545.64

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Solution

The fourth proportional to 856.68, 1,181.70 and 545.64 is: 752.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    856.68 : 1,181.70 = 545.64 : x
  2. Step 2: Convert to fraction form
    856.68/1,181.70 = 545.64/x
  3. Step 3: Cross multiply
    856.68x = 1,181.70 × 545.64
  4. Step 4: Simplify right side
    856.68x = 644,782.79
  5. Step 5: Solve for x
    x = 644,782.79/856.68
  6. Step 6: Final answer
    x = 752.65

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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.