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Finding the Fourth Proportional to 1,137.47, 1,568.63 and 1,052.62

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Solution

The fourth proportional to 1,137.47, 1,568.63 and 1,052.62 is: 1,451.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,137.47 : 1,568.63 = 1,052.62 : x
  2. Step 2: Convert to fraction form
    1,137.47/1,568.63 = 1,052.62/x
  3. Step 3: Cross multiply
    1,137.47x = 1,568.63 × 1,052.62
  4. Step 4: Simplify right side
    1,137.47x = 1,651,170.02
  5. Step 5: Solve for x
    x = 1,651,170.02/1,137.47
  6. Step 6: Final answer
    x = 1,451.62

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.