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Finding the Fourth Proportional to 1,183.74, 1,775.01 and 690.31

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Solution

The fourth proportional to 1,183.74, 1,775.01 and 690.31 is: 1,035.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,183.74 : 1,775.01 = 690.31 : x
  2. Step 2: Convert to fraction form
    1,183.74/1,775.01 = 690.31/x
  3. Step 3: Cross multiply
    1,183.74x = 1,775.01 × 690.31
  4. Step 4: Simplify right side
    1,183.74x = 1,225,307.15
  5. Step 5: Solve for x
    x = 1,225,307.15/1,183.74
  6. Step 6: Final answer
    x = 1,035.12

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.