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Finding the Fourth Proportional to 1,015.78, 1,523.29 and 399.15

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Solution

The fourth proportional to 1,015.78, 1,523.29 and 399.15 is: 598.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,015.78 : 1,523.29 = 399.15 : x
  2. Step 2: Convert to fraction form
    1,015.78/1,523.29 = 399.15/x
  3. Step 3: Cross multiply
    1,015.78x = 1,523.29 × 399.15
  4. Step 4: Simplify right side
    1,015.78x = 608,014.76
  5. Step 5: Solve for x
    x = 608,014.76/1,015.78
  6. Step 6: Final answer
    x = 598.57

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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.