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Finding the Fourth Proportional to 1,148.40, 1,722.35 and 326.66

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Solution

The fourth proportional to 1,148.40, 1,722.35 and 326.66 is: 489.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,148.40 : 1,722.35 = 326.66 : x
  2. Step 2: Convert to fraction form
    1,148.40/1,722.35 = 326.66/x
  3. Step 3: Cross multiply
    1,148.40x = 1,722.35 × 326.66
  4. Step 4: Simplify right side
    1,148.40x = 562,619.68
  5. Step 5: Solve for x
    x = 562,619.68/1,148.40
  6. Step 6: Final answer
    x = 489.91

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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.