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Finding the Fourth Proportional to 856.86, 1,182.45 and 483.83

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Solution

The fourth proportional to 856.86, 1,182.45 and 483.83 is: 667.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    856.86 : 1,182.45 = 483.83 : x
  2. Step 2: Convert to fraction form
    856.86/1,182.45 = 483.83/x
  3. Step 3: Cross multiply
    856.86x = 1,182.45 × 483.83
  4. Step 4: Simplify right side
    856.86x = 572,105.72
  5. Step 5: Solve for x
    x = 572,105.72/856.86
  6. Step 6: Final answer
    x = 667.68

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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.