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Finding the Fourth Proportional to 1,347.94, 1,860.01 and 758.46

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Solution

The fourth proportional to 1,347.94, 1,860.01 and 758.46 is: 1,046.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,347.94 : 1,860.01 = 758.46 : x
  2. Step 2: Convert to fraction form
    1,347.94/1,860.01 = 758.46/x
  3. Step 3: Cross multiply
    1,347.94x = 1,860.01 × 758.46
  4. Step 4: Simplify right side
    1,347.94x = 1,410,739.39
  5. Step 5: Solve for x
    x = 1,410,739.39/1,347.94
  6. Step 6: Final answer
    x = 1,046.59

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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.