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Finding the Fourth Proportional to 616.39, 856.65 and 609.91

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Solution

The fourth proportional to 616.39, 856.65 and 609.91 is: 847.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    616.39 : 856.65 = 609.91 : x
  2. Step 2: Convert to fraction form
    616.39/856.65 = 609.91/x
  3. Step 3: Cross multiply
    616.39x = 856.65 × 609.91
  4. Step 4: Simplify right side
    616.39x = 522,480.93
  5. Step 5: Solve for x
    x = 522,480.93/616.39
  6. Step 6: Final answer
    x = 847.65

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.