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Finding the Fourth Proportional to 1,259.94, 1,886.26 and 820.71

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Solution

The fourth proportional to 1,259.94, 1,886.26 and 820.71 is: 1,228.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,259.94 : 1,886.26 = 820.71 : x
  2. Step 2: Convert to fraction form
    1,259.94/1,886.26 = 820.71/x
  3. Step 3: Cross multiply
    1,259.94x = 1,886.26 × 820.71
  4. Step 4: Simplify right side
    1,259.94x = 1,548,075.11
  5. Step 5: Solve for x
    x = 1,548,075.11/1,259.94
  6. Step 6: Final answer
    x = 1,228.69

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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.