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Finding the Fourth Proportional to 1,052.21, 1,578.75 and 436.04

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Solution

The fourth proportional to 1,052.21, 1,578.75 and 436.04 is: 654.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,052.21 : 1,578.75 = 436.04 : x
  2. Step 2: Convert to fraction form
    1,052.21/1,578.75 = 436.04/x
  3. Step 3: Cross multiply
    1,052.21x = 1,578.75 × 436.04
  4. Step 4: Simplify right side
    1,052.21x = 688,398.15
  5. Step 5: Solve for x
    x = 688,398.15/1,052.21
  6. Step 6: Final answer
    x = 654.24

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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.