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Finding the Fourth Proportional to 941.37, 1,410.57 and 550.50

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Solution

The fourth proportional to 941.37, 1,410.57 and 550.50 is: 824.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    941.37 : 1,410.57 = 550.50 : x
  2. Step 2: Convert to fraction form
    941.37/1,410.57 = 550.50/x
  3. Step 3: Cross multiply
    941.37x = 1,410.57 × 550.50
  4. Step 4: Simplify right side
    941.37x = 776,518.79
  5. Step 5: Solve for x
    x = 776,518.79/941.37
  6. Step 6: Final answer
    x = 824.88

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.