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Finding the Fourth Proportional to 1,232.70, 1,848.21 and 583.98

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Solution

The fourth proportional to 1,232.70, 1,848.21 and 583.98 is: 875.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,232.70 : 1,848.21 = 583.98 : x
  2. Step 2: Convert to fraction form
    1,232.70/1,848.21 = 583.98/x
  3. Step 3: Cross multiply
    1,232.70x = 1,848.21 × 583.98
  4. Step 4: Simplify right side
    1,232.70x = 1,079,317.68
  5. Step 5: Solve for x
    x = 1,079,317.68/1,232.70
  6. Step 6: Final answer
    x = 875.57

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.