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Finding the Fourth Proportional to 1,057.49, 1,457.78 and 741.80

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Solution

The fourth proportional to 1,057.49, 1,457.78 and 741.80 is: 1,022.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,057.49 : 1,457.78 = 741.80 : x
  2. Step 2: Convert to fraction form
    1,057.49/1,457.78 = 741.80/x
  3. Step 3: Cross multiply
    1,057.49x = 1,457.78 × 741.80
  4. Step 4: Simplify right side
    1,057.49x = 1,081,375.77
  5. Step 5: Solve for x
    x = 1,081,375.77/1,057.49
  6. Step 6: Final answer
    x = 1,022.59

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Why These Related Problems?

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