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Finding the Fourth Proportional to 684.14, 941.91 and 601.52

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Solution

The fourth proportional to 684.14, 941.91 and 601.52 is: 828.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    684.14 : 941.91 = 601.52 : x
  2. Step 2: Convert to fraction form
    684.14/941.91 = 601.52/x
  3. Step 3: Cross multiply
    684.14x = 941.91 × 601.52
  4. Step 4: Simplify right side
    684.14x = 566,577.70
  5. Step 5: Solve for x
    x = 566,577.70/684.14
  6. Step 6: Final answer
    x = 828.16

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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.