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Finding the Fourth Proportional to 1,346.41, 1,857.99 and 757.00

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Solution

The fourth proportional to 1,346.41, 1,857.99 and 757.00 is: 1,044.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,346.41 : 1,857.99 = 757.00 : x
  2. Step 2: Convert to fraction form
    1,346.41/1,857.99 = 757.00/x
  3. Step 3: Cross multiply
    1,346.41x = 1,857.99 × 757.00
  4. Step 4: Simplify right side
    1,346.41x = 1,406,496.62
  5. Step 5: Solve for x
    x = 1,406,496.62/1,346.41
  6. Step 6: Final answer
    x = 1,044.63

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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.