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Finding the Fourth Proportional to 1,097.66, 1,522.55 and 1,058.26

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Solution

The fourth proportional to 1,097.66, 1,522.55 and 1,058.26 is: 1,467.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,097.66 : 1,522.55 = 1,058.26 : x
  2. Step 2: Convert to fraction form
    1,097.66/1,522.55 = 1,058.26/x
  3. Step 3: Cross multiply
    1,097.66x = 1,522.55 × 1,058.26
  4. Step 4: Simplify right side
    1,097.66x = 1,611,253.76
  5. Step 5: Solve for x
    x = 1,611,253.76/1,097.66
  6. Step 6: Final answer
    x = 1,467.90

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.