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Finding the Fourth Proportional to 1,478.03, 2,217.03 and 438.04

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Solution

The fourth proportional to 1,478.03, 2,217.03 and 438.04 is: 657.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,478.03 : 2,217.03 = 438.04 : x
  2. Step 2: Convert to fraction form
    1,478.03/2,217.03 = 438.04/x
  3. Step 3: Cross multiply
    1,478.03x = 2,217.03 × 438.04
  4. Step 4: Simplify right side
    1,478.03x = 971,138.94
  5. Step 5: Solve for x
    x = 971,138.94/1,478.03
  6. Step 6: Final answer
    x = 657.05

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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.