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Finding the Fourth Proportional to 1,015.56, 1,522.98 and 399.42

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Solution

The fourth proportional to 1,015.56, 1,522.98 and 399.42 is: 598.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,015.56 : 1,522.98 = 399.42 : x
  2. Step 2: Convert to fraction form
    1,015.56/1,522.98 = 399.42/x
  3. Step 3: Cross multiply
    1,015.56x = 1,522.98 × 399.42
  4. Step 4: Simplify right side
    1,015.56x = 608,308.67
  5. Step 5: Solve for x
    x = 608,308.67/1,015.56
  6. Step 6: Final answer
    x = 598.99

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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.