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Finding the Fourth Proportional to 1,052.24, 1,578.90 and 403.40

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Solution

The fourth proportional to 1,052.24, 1,578.90 and 403.40 is: 605.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,052.24 : 1,578.90 = 403.40 : x
  2. Step 2: Convert to fraction form
    1,052.24/1,578.90 = 403.40/x
  3. Step 3: Cross multiply
    1,052.24x = 1,578.90 × 403.40
  4. Step 4: Simplify right side
    1,052.24x = 636,928.26
  5. Step 5: Solve for x
    x = 636,928.26/1,052.24
  6. Step 6: Final answer
    x = 605.31

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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.