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Finding the Fourth Proportional to 1,197.26, 1,795.48 and 547.64

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Solution

The fourth proportional to 1,197.26, 1,795.48 and 547.64 is: 821.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,197.26 : 1,795.48 = 547.64 : x
  2. Step 2: Convert to fraction form
    1,197.26/1,795.48 = 547.64/x
  3. Step 3: Cross multiply
    1,197.26x = 1,795.48 × 547.64
  4. Step 4: Simplify right side
    1,197.26x = 983,276.67
  5. Step 5: Solve for x
    x = 983,276.67/1,197.26
  6. Step 6: Final answer
    x = 821.27

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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.