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Finding the Fourth Proportional to 1,709.22, 2,562.78 and 785.06

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Solution

The fourth proportional to 1,709.22, 2,562.78 and 785.06 is: 1,177.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,709.22 : 2,562.78 = 785.06 : x
  2. Step 2: Convert to fraction form
    1,709.22/2,562.78 = 785.06/x
  3. Step 3: Cross multiply
    1,709.22x = 2,562.78 × 785.06
  4. Step 4: Simplify right side
    1,709.22x = 2,011,942.47
  5. Step 5: Solve for x
    x = 2,011,942.47/1,709.22
  6. Step 6: Final answer
    x = 1,177.11

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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.