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Finding the Fourth Proportional to 690.22, 954.60 and 616.42

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Solution

The fourth proportional to 690.22, 954.60 and 616.42 is: 852.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    690.22 : 954.60 = 616.42 : x
  2. Step 2: Convert to fraction form
    690.22/954.60 = 616.42/x
  3. Step 3: Cross multiply
    690.22x = 954.60 × 616.42
  4. Step 4: Simplify right side
    690.22x = 588,434.53
  5. Step 5: Solve for x
    x = 588,434.53/690.22
  6. Step 6: Final answer
    x = 852.53

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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.