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Finding the Fourth Proportional to 1,012.77, 1,524.69 and 690.19

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Solution

The fourth proportional to 1,012.77, 1,524.69 and 690.19 is: 1,039.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,012.77 : 1,524.69 = 690.19 : x
  2. Step 2: Convert to fraction form
    1,012.77/1,524.69 = 690.19/x
  3. Step 3: Cross multiply
    1,012.77x = 1,524.69 × 690.19
  4. Step 4: Simplify right side
    1,012.77x = 1,052,321.98
  5. Step 5: Solve for x
    x = 1,052,321.98/1,012.77
  6. Step 6: Final answer
    x = 1,039.05

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.