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Finding the Fourth Proportional to 1,284.83, 1,927.35 and 504.78

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Solution

The fourth proportional to 1,284.83, 1,927.35 and 504.78 is: 757.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,284.83 : 1,927.35 = 504.78 : x
  2. Step 2: Convert to fraction form
    1,284.83/1,927.35 = 504.78/x
  3. Step 3: Cross multiply
    1,284.83x = 1,927.35 × 504.78
  4. Step 4: Simplify right side
    1,284.83x = 972,887.73
  5. Step 5: Solve for x
    x = 972,887.73/1,284.83
  6. Step 6: Final answer
    x = 757.21

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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.