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Finding the Fourth Proportional to 1,013.14, 1,522.45 and 551.26

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Solution

The fourth proportional to 1,013.14, 1,522.45 and 551.26 is: 828.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,013.14 : 1,522.45 = 551.26 : x
  2. Step 2: Convert to fraction form
    1,013.14/1,522.45 = 551.26/x
  3. Step 3: Cross multiply
    1,013.14x = 1,522.45 × 551.26
  4. Step 4: Simplify right side
    1,013.14x = 839,258.17
  5. Step 5: Solve for x
    x = 839,258.17/1,013.14
  6. Step 6: Final answer
    x = 828.38

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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.