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Finding the Fourth Proportional to 1,277.93, 1,917.09 and 619.20

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Solution

The fourth proportional to 1,277.93, 1,917.09 and 619.20 is: 928.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,277.93 : 1,917.09 = 619.20 : x
  2. Step 2: Convert to fraction form
    1,277.93/1,917.09 = 619.20/x
  3. Step 3: Cross multiply
    1,277.93x = 1,917.09 × 619.20
  4. Step 4: Simplify right side
    1,277.93x = 1,187,062.13
  5. Step 5: Solve for x
    x = 1,187,062.13/1,277.93
  6. Step 6: Final answer
    x = 928.89

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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.