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Finding the Fourth Proportional to 1,147.77, 1,721.75 and 325.98

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Solution

The fourth proportional to 1,147.77, 1,721.75 and 325.98 is: 489.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,147.77 : 1,721.75 = 325.98 : x
  2. Step 2: Convert to fraction form
    1,147.77/1,721.75 = 325.98/x
  3. Step 3: Cross multiply
    1,147.77x = 1,721.75 × 325.98
  4. Step 4: Simplify right side
    1,147.77x = 561,254.44
  5. Step 5: Solve for x
    x = 561,254.44/1,147.77
  6. Step 6: Final answer
    x = 489.00

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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.