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Finding the Fourth Proportional to 1,276.56, 1,914.86 and 583.20

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Solution

The fourth proportional to 1,276.56, 1,914.86 and 583.20 is: 874.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,276.56 : 1,914.86 = 583.20 : x
  2. Step 2: Convert to fraction form
    1,276.56/1,914.86 = 583.20/x
  3. Step 3: Cross multiply
    1,276.56x = 1,914.86 × 583.20
  4. Step 4: Simplify right side
    1,276.56x = 1,116,746.35
  5. Step 5: Solve for x
    x = 1,116,746.35/1,276.56
  6. Step 6: Final answer
    x = 874.81

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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.