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Finding the Fourth Proportional to 1,048.58, 1,573.25 and 399.32

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Solution

The fourth proportional to 1,048.58, 1,573.25 and 399.32 is: 599.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,048.58 : 1,573.25 = 399.32 : x
  2. Step 2: Convert to fraction form
    1,048.58/1,573.25 = 399.32/x
  3. Step 3: Cross multiply
    1,048.58x = 1,573.25 × 399.32
  4. Step 4: Simplify right side
    1,048.58x = 628,230.19
  5. Step 5: Solve for x
    x = 628,230.19/1,048.58
  6. Step 6: Final answer
    x = 599.12

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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.