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Finding the Fourth Proportional to 1,232.44, 1,848.78 and 583

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Solution

The fourth proportional to 1,232.44, 1,848.78 and 583 is: 874.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,232.44 : 1,848.78 = 583 : x
  2. Step 2: Convert to fraction form
    1,232.44/1,848.78 = 583/x
  3. Step 3: Cross multiply
    1,232.44x = 1,848.78 × 583
  4. Step 4: Simplify right side
    1,232.44x = 1,077,838.74
  5. Step 5: Solve for x
    x = 1,077,838.74/1,232.44
  6. Step 6: Final answer
    x = 874.56

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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.