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Finding the Fourth Proportional to 1,232.82, 1,848.62 and 501.93

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Solution

The fourth proportional to 1,232.82, 1,848.62 and 501.93 is: 752.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,232.82 : 1,848.62 = 501.93 : x
  2. Step 2: Convert to fraction form
    1,232.82/1,848.62 = 501.93/x
  3. Step 3: Cross multiply
    1,232.82x = 1,848.62 × 501.93
  4. Step 4: Simplify right side
    1,232.82x = 927,879.09
  5. Step 5: Solve for x
    x = 927,879.09/1,232.82
  6. Step 6: Final answer
    x = 752.65

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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.