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Finding the Fourth Proportional to 1,267, 1,900.74 and 583

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Solution

The fourth proportional to 1,267, 1,900.74 and 583 is: 874.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,267 : 1,900.74 = 583 : x
  2. Step 2: Convert to fraction form
    1,267/1,900.74 = 583/x
  3. Step 3: Cross multiply
    1,267x = 1,900.74 × 583
  4. Step 4: Simplify right side
    1,267x = 1,108,131.42
  5. Step 5: Solve for x
    x = 1,108,131.42/1,267
  6. Step 6: Final answer
    x = 874.61

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