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Finding the Fourth Proportional to 1,357.43, 2,035.40 and 626.36

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Solution

The fourth proportional to 1,357.43, 2,035.40 and 626.36 is: 939.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,357.43 : 2,035.40 = 626.36 : x
  2. Step 2: Convert to fraction form
    1,357.43/2,035.40 = 626.36/x
  3. Step 3: Cross multiply
    1,357.43x = 2,035.40 × 626.36
  4. Step 4: Simplify right side
    1,357.43x = 1,274,879.84
  5. Step 5: Solve for x
    x = 1,274,879.84/1,357.43
  6. Step 6: Final answer
    x = 939.19

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.