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Finding the Fourth Proportional to 1,148.02, 1,722.12 and 326.30

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Solution

The fourth proportional to 1,148.02, 1,722.12 and 326.30 is: 489.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,148.02 : 1,722.12 = 326.30 : x
  2. Step 2: Convert to fraction form
    1,148.02/1,722.12 = 326.30/x
  3. Step 3: Cross multiply
    1,148.02x = 1,722.12 × 326.30
  4. Step 4: Simplify right side
    1,148.02x = 561,927.76
  5. Step 5: Solve for x
    x = 561,927.76/1,148.02
  6. Step 6: Final answer
    x = 489.48

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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.