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Finding the Fourth Proportional to 561.94, 776.23 and 509.54

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Solution

The fourth proportional to 561.94, 776.23 and 509.54 is: 703.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    561.94 : 776.23 = 509.54 : x
  2. Step 2: Convert to fraction form
    561.94/776.23 = 509.54/x
  3. Step 3: Cross multiply
    561.94x = 776.23 × 509.54
  4. Step 4: Simplify right side
    561.94x = 395,517.99
  5. Step 5: Solve for x
    x = 395,517.99/561.94
  6. Step 6: Final answer
    x = 703.85

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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.