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Finding the Fourth Proportional to 684.15, 941.94 and 564.68

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Solution

The fourth proportional to 684.15, 941.94 and 564.68 is: 777.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    684.15 : 941.94 = 564.68 : x
  2. Step 2: Convert to fraction form
    684.15/941.94 = 564.68/x
  3. Step 3: Cross multiply
    684.15x = 941.94 × 564.68
  4. Step 4: Simplify right side
    684.15x = 531,889.97
  5. Step 5: Solve for x
    x = 531,889.97/684.15
  6. Step 6: Final answer
    x = 777.45

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1.5x scale

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.