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Finding the Fourth Proportional to 1,711.78, 2,564.26 and 786.07

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Solution

The fourth proportional to 1,711.78, 2,564.26 and 786.07 is: 1,177.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,711.78 : 2,564.26 = 786.07 : x
  2. Step 2: Convert to fraction form
    1,711.78/2,564.26 = 786.07/x
  3. Step 3: Cross multiply
    1,711.78x = 2,564.26 × 786.07
  4. Step 4: Simplify right side
    1,711.78x = 2,015,678.28
  5. Step 5: Solve for x
    x = 2,015,678.28/1,711.78
  6. Step 6: Final answer
    x = 1,177.53

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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.