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Finding the Fourth Proportional to 1,052.11, 1,578.03 and 435.61

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Solution

The fourth proportional to 1,052.11, 1,578.03 and 435.61 is: 653.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,052.11 : 1,578.03 = 435.61 : x
  2. Step 2: Convert to fraction form
    1,052.11/1,578.03 = 435.61/x
  3. Step 3: Cross multiply
    1,052.11x = 1,578.03 × 435.61
  4. Step 4: Simplify right side
    1,052.11x = 687,405.65
  5. Step 5: Solve for x
    x = 687,405.65/1,052.11
  6. Step 6: Final answer
    x = 653.36

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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.