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Finding the Fourth Proportional to 1,163.79, 1,746.09 and 547.58

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Solution

The fourth proportional to 1,163.79, 1,746.09 and 547.58 is: 821.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,163.79 : 1,746.09 = 547.58 : x
  2. Step 2: Convert to fraction form
    1,163.79/1,746.09 = 547.58/x
  3. Step 3: Cross multiply
    1,163.79x = 1,746.09 × 547.58
  4. Step 4: Simplify right side
    1,163.79x = 956,128.33
  5. Step 5: Solve for x
    x = 956,128.33/1,163.79
  6. Step 6: Final answer
    x = 821.56

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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.