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Finding the Fourth Proportional to 1,075.86, 1,612.17 and 800.66

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Solution

The fourth proportional to 1,075.86, 1,612.17 and 800.66 is: 1,199.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,075.86 : 1,612.17 = 800.66 : x
  2. Step 2: Convert to fraction form
    1,075.86/1,612.17 = 800.66/x
  3. Step 3: Cross multiply
    1,075.86x = 1,612.17 × 800.66
  4. Step 4: Simplify right side
    1,075.86x = 1,290,800.03
  5. Step 5: Solve for x
    x = 1,290,800.03/1,075.86
  6. Step 6: Final answer
    x = 1,199.78

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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.