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Finding the Fourth Proportional to 616.92, 850.64 and 573.18

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Solution

The fourth proportional to 616.92, 850.64 and 573.18 is: 790.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    616.92 : 850.64 = 573.18 : x
  2. Step 2: Convert to fraction form
    616.92/850.64 = 573.18/x
  3. Step 3: Cross multiply
    616.92x = 850.64 × 573.18
  4. Step 4: Simplify right side
    616.92x = 487,566.97
  5. Step 5: Solve for x
    x = 487,566.97/616.92
  6. Step 6: Final answer
    x = 790.32

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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.