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Finding the Fourth Proportional to 1,347.97, 1,860.05 and 758.50

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Solution

The fourth proportional to 1,347.97, 1,860.05 and 758.50 is: 1,046.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,347.97 : 1,860.05 = 758.50 : x
  2. Step 2: Convert to fraction form
    1,347.97/1,860.05 = 758.50/x
  3. Step 3: Cross multiply
    1,347.97x = 1,860.05 × 758.50
  4. Step 4: Simplify right side
    1,347.97x = 1,410,838.62
  5. Step 5: Solve for x
    x = 1,410,838.62/1,347.97
  6. Step 6: Final answer
    x = 1,046.64

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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.