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Finding the Fourth Proportional to 1,779.67, 2,669.46 and 547.05

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Solution

The fourth proportional to 1,779.67, 2,669.46 and 547.05 is: 820.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,779.67 : 2,669.46 = 547.05 : x
  2. Step 2: Convert to fraction form
    1,779.67/2,669.46 = 547.05/x
  3. Step 3: Cross multiply
    1,779.67x = 2,669.46 × 547.05
  4. Step 4: Simplify right side
    1,779.67x = 1,460,336.05
  5. Step 5: Solve for x
    x = 1,460,336.05/1,779.67
  6. Step 6: Final answer
    x = 820.57

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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.