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Finding the Fourth Proportional to 1,259.25, 1,888.89 and 347.25

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Solution

The fourth proportional to 1,259.25, 1,888.89 and 347.25 is: 520.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,259.25 : 1,888.89 = 347.25 : x
  2. Step 2: Convert to fraction form
    1,259.25/1,888.89 = 347.25/x
  3. Step 3: Cross multiply
    1,259.25x = 1,888.89 × 347.25
  4. Step 4: Simplify right side
    1,259.25x = 655,917.05
  5. Step 5: Solve for x
    x = 655,917.05/1,259.25
  6. Step 6: Final answer
    x = 520.88

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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.