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Finding the Fourth Proportional to 1,015.55, 1,522.71 and 398.52

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Solution

The fourth proportional to 1,015.55, 1,522.71 and 398.52 is: 597.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,015.55 : 1,522.71 = 398.52 : x
  2. Step 2: Convert to fraction form
    1,015.55/1,522.71 = 398.52/x
  3. Step 3: Cross multiply
    1,015.55x = 1,522.71 × 398.52
  4. Step 4: Simplify right side
    1,015.55x = 606,830.39
  5. Step 5: Solve for x
    x = 606,830.39/1,015.55
  6. Step 6: Final answer
    x = 597.54

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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.