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Finding the Fourth Proportional to 1,057.63, 1,469.59 and 1,046.22

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Solution

The fourth proportional to 1,057.63, 1,469.59 and 1,046.22 is: 1,453.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,057.63 : 1,469.59 = 1,046.22 : x
  2. Step 2: Convert to fraction form
    1,057.63/1,469.59 = 1,046.22/x
  3. Step 3: Cross multiply
    1,057.63x = 1,469.59 × 1,046.22
  4. Step 4: Simplify right side
    1,057.63x = 1,537,515.76
  5. Step 5: Solve for x
    x = 1,537,515.76/1,057.63
  6. Step 6: Final answer
    x = 1,453.74

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.