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Finding the Fourth Proportional to 1,779.35, 2,669.09 and 480.81

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Solution

The fourth proportional to 1,779.35, 2,669.09 and 480.81 is: 721.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,779.35 : 2,669.09 = 480.81 : x
  2. Step 2: Convert to fraction form
    1,779.35/2,669.09 = 480.81/x
  3. Step 3: Cross multiply
    1,779.35x = 2,669.09 × 480.81
  4. Step 4: Simplify right side
    1,779.35x = 1,283,332.77
  5. Step 5: Solve for x
    x = 1,283,332.77/1,779.35
  6. Step 6: Final answer
    x = 721.24

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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.