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Finding the Fourth Proportional to 1,015.12, 1,522.20 and 438.16

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Solution

The fourth proportional to 1,015.12, 1,522.20 and 438.16 is: 657.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,015.12 : 1,522.20 = 438.16 : x
  2. Step 2: Convert to fraction form
    1,015.12/1,522.20 = 438.16/x
  3. Step 3: Cross multiply
    1,015.12x = 1,522.20 × 438.16
  4. Step 4: Simplify right side
    1,015.12x = 666,967.15
  5. Step 5: Solve for x
    x = 666,967.15/1,015.12
  6. Step 6: Final answer
    x = 657.03

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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.