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Finding the Fourth Proportional to 1,197.86, 1,653.05 and 673.88

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Solution

The fourth proportional to 1,197.86, 1,653.05 and 673.88 is: 929.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,197.86 : 1,653.05 = 673.88 : x
  2. Step 2: Convert to fraction form
    1,197.86/1,653.05 = 673.88/x
  3. Step 3: Cross multiply
    1,197.86x = 1,653.05 × 673.88
  4. Step 4: Simplify right side
    1,197.86x = 1,113,950.75
  5. Step 5: Solve for x
    x = 1,113,950.75/1,197.86
  6. Step 6: Final answer
    x = 929.95

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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.