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Finding the Fourth Proportional to 1,289.47, 1,779.19 and 817.51

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Solution

The fourth proportional to 1,289.47, 1,779.19 and 817.51 is: 1,127.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,289.47 : 1,779.19 = 817.51 : x
  2. Step 2: Convert to fraction form
    1,289.47/1,779.19 = 817.51/x
  3. Step 3: Cross multiply
    1,289.47x = 1,779.19 × 817.51
  4. Step 4: Simplify right side
    1,289.47x = 1,454,505.62
  5. Step 5: Solve for x
    x = 1,454,505.62/1,289.47
  6. Step 6: Final answer
    x = 1,127.99

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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.