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Finding the Fourth Proportional to 1,046.44, 1,569.22 and 388.11

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Solution

The fourth proportional to 1,046.44, 1,569.22 and 388.11 is: 582.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,046.44 : 1,569.22 = 388.11 : x
  2. Step 2: Convert to fraction form
    1,046.44/1,569.22 = 388.11/x
  3. Step 3: Cross multiply
    1,046.44x = 1,569.22 × 388.11
  4. Step 4: Simplify right side
    1,046.44x = 609,028.03
  5. Step 5: Solve for x
    x = 609,028.03/1,046.44
  6. Step 6: Final answer
    x = 582.00

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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.