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Finding the Fourth Proportional to 1,057.19, 1,458.34 and 758.43

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Solution

The fourth proportional to 1,057.19, 1,458.34 and 758.43 is: 1,046.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,057.19 : 1,458.34 = 758.43 : x
  2. Step 2: Convert to fraction form
    1,057.19/1,458.34 = 758.43/x
  3. Step 3: Cross multiply
    1,057.19x = 1,458.34 × 758.43
  4. Step 4: Simplify right side
    1,057.19x = 1,106,046.91
  5. Step 5: Solve for x
    x = 1,106,046.91/1,057.19
  6. Step 6: Final answer
    x = 1,046.22

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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.