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Finding the Fourth Proportional to 1,277.98, 1,917.47 and 547.56

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Solution

The fourth proportional to 1,277.98, 1,917.47 and 547.56 is: 821.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,277.98 : 1,917.47 = 547.56 : x
  2. Step 2: Convert to fraction form
    1,277.98/1,917.47 = 547.56/x
  3. Step 3: Cross multiply
    1,277.98x = 1,917.47 × 547.56
  4. Step 4: Simplify right side
    1,277.98x = 1,049,931.24
  5. Step 5: Solve for x
    x = 1,049,931.24/1,277.98
  6. Step 6: Final answer
    x = 821.56

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.