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Finding the Fourth Proportional to 1,039.69, 1,559.54 and 309.34

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Solution

The fourth proportional to 1,039.69, 1,559.54 and 309.34 is: 464.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,039.69 : 1,559.54 = 309.34 : x
  2. Step 2: Convert to fraction form
    1,039.69/1,559.54 = 309.34/x
  3. Step 3: Cross multiply
    1,039.69x = 1,559.54 × 309.34
  4. Step 4: Simplify right side
    1,039.69x = 482,428.10
  5. Step 5: Solve for x
    x = 482,428.10/1,039.69
  6. Step 6: Final answer
    x = 464.01

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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.