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Finding the Fourth Proportional to 1,265.45, 1,895.84 and 1,061.33

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Solution

The fourth proportional to 1,265.45, 1,895.84 and 1,061.33 is: 1,590.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,265.45 : 1,895.84 = 1,061.33 : x
  2. Step 2: Convert to fraction form
    1,265.45/1,895.84 = 1,061.33/x
  3. Step 3: Cross multiply
    1,265.45x = 1,895.84 × 1,061.33
  4. Step 4: Simplify right side
    1,265.45x = 2,012,106.56
  5. Step 5: Solve for x
    x = 2,012,106.56/1,265.45
  6. Step 6: Final answer
    x = 1,590.03

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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.