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Finding the Fourth Proportional to 1,384.09, 2,076.16 and 561.79

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Solution

The fourth proportional to 1,384.09, 2,076.16 and 561.79 is: 842.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,384.09 : 2,076.16 = 561.79 : x
  2. Step 2: Convert to fraction form
    1,384.09/2,076.16 = 561.79/x
  3. Step 3: Cross multiply
    1,384.09x = 2,076.16 × 561.79
  4. Step 4: Simplify right side
    1,384.09x = 1,166,365.93
  5. Step 5: Solve for x
    x = 1,166,365.93/1,384.09
  6. Step 6: Final answer
    x = 842.70

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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.