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Finding the Fourth Proportional to 1,277.20, 1,914.09 and 683.00

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Solution

The fourth proportional to 1,277.20, 1,914.09 and 683.00 is: 1,023.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,277.20 : 1,914.09 = 683.00 : x
  2. Step 2: Convert to fraction form
    1,277.20/1,914.09 = 683.00/x
  3. Step 3: Cross multiply
    1,277.20x = 1,914.09 × 683.00
  4. Step 4: Simplify right side
    1,277.20x = 1,307,330.82
  5. Step 5: Solve for x
    x = 1,307,330.82/1,277.20
  6. Step 6: Final answer
    x = 1,023.59

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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.