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Finding the Fourth Proportional to 1,232.78, 1,849.01 and 355.37

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Solution

The fourth proportional to 1,232.78, 1,849.01 and 355.37 is: 533.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,232.78 : 1,849.01 = 355.37 : x
  2. Step 2: Convert to fraction form
    1,232.78/1,849.01 = 355.37/x
  3. Step 3: Cross multiply
    1,232.78x = 1,849.01 × 355.37
  4. Step 4: Simplify right side
    1,232.78x = 657,071.66
  5. Step 5: Solve for x
    x = 657,071.66/1,232.78
  6. Step 6: Final answer
    x = 533.00

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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.