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Finding the Fourth Proportional to 1,269.95, 1,899.72 and 959.49

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Solution

The fourth proportional to 1,269.95, 1,899.72 and 959.49 is: 1,435.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,269.95 : 1,899.72 = 959.49 : x
  2. Step 2: Convert to fraction form
    1,269.95/1,899.72 = 959.49/x
  3. Step 3: Cross multiply
    1,269.95x = 1,899.72 × 959.49
  4. Step 4: Simplify right side
    1,269.95x = 1,822,762.34
  5. Step 5: Solve for x
    x = 1,822,762.34/1,269.95
  6. Step 6: Final answer
    x = 1,435.31

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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.