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Finding the Fourth Proportional to 1,276.65, 1,914.01 and 583.52

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Solution

The fourth proportional to 1,276.65, 1,914.01 and 583.52 is: 874.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,276.65 : 1,914.01 = 583.52 : x
  2. Step 2: Convert to fraction form
    1,276.65/1,914.01 = 583.52/x
  3. Step 3: Cross multiply
    1,276.65x = 1,914.01 × 583.52
  4. Step 4: Simplify right side
    1,276.65x = 1,116,852.09
  5. Step 5: Solve for x
    x = 1,116,852.09/1,276.65
  6. Step 6: Final answer
    x = 874.83

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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.