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Finding the Fourth Proportional to 1,276.58, 1,914.62 and 583.09

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Solution

The fourth proportional to 1,276.58, 1,914.62 and 583.09 is: 874.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,276.58 : 1,914.62 = 583.09 : x
  2. Step 2: Convert to fraction form
    1,276.58/1,914.62 = 583.09/x
  3. Step 3: Cross multiply
    1,276.58x = 1,914.62 × 583.09
  4. Step 4: Simplify right side
    1,276.58x = 1,116,395.78
  5. Step 5: Solve for x
    x = 1,116,395.78/1,276.58
  6. Step 6: Final answer
    x = 874.52

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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.