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Finding the Fourth Proportional to 1,183.45, 1,776.47 and 690.40

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Solution

The fourth proportional to 1,183.45, 1,776.47 and 690.40 is: 1,036.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,183.45 : 1,776.47 = 690.40 : x
  2. Step 2: Convert to fraction form
    1,183.45/1,776.47 = 690.40/x
  3. Step 3: Cross multiply
    1,183.45x = 1,776.47 × 690.40
  4. Step 4: Simplify right side
    1,183.45x = 1,226,474.89
  5. Step 5: Solve for x
    x = 1,226,474.89/1,183.45
  6. Step 6: Final answer
    x = 1,036.36

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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.