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Finding the Fourth Proportional to 1,259.13, 1,886.70 and 846.75

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Solution

The fourth proportional to 1,259.13, 1,886.70 and 846.75 is: 1,268.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,259.13 : 1,886.70 = 846.75 : x
  2. Step 2: Convert to fraction form
    1,259.13/1,886.70 = 846.75/x
  3. Step 3: Cross multiply
    1,259.13x = 1,886.70 × 846.75
  4. Step 4: Simplify right side
    1,259.13x = 1,597,563.23
  5. Step 5: Solve for x
    x = 1,597,563.23/1,259.13
  6. Step 6: Final answer
    x = 1,268.78

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