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Finding the Fourth Proportional to 1,230.22, 1,697.73 and 670.69

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Solution

The fourth proportional to 1,230.22, 1,697.73 and 670.69 is: 925.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,230.22 : 1,697.73 = 670.69 : x
  2. Step 2: Convert to fraction form
    1,230.22/1,697.73 = 670.69/x
  3. Step 3: Cross multiply
    1,230.22x = 1,697.73 × 670.69
  4. Step 4: Simplify right side
    1,230.22x = 1,138,650.53
  5. Step 5: Solve for x
    x = 1,138,650.53/1,230.22
  6. Step 6: Final answer
    x = 925.57

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.