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Finding the Fourth Proportional to 1,148.03, 1,722.04 and 326.31

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Solution

The fourth proportional to 1,148.03, 1,722.04 and 326.31 is: 489.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,148.03 : 1,722.04 = 326.31 : x
  2. Step 2: Convert to fraction form
    1,148.03/1,722.04 = 326.31/x
  3. Step 3: Cross multiply
    1,148.03x = 1,722.04 × 326.31
  4. Step 4: Simplify right side
    1,148.03x = 561,908.63
  5. Step 5: Solve for x
    x = 561,908.63/1,148.03
  6. Step 6: Final answer
    x = 489.46

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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.