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Finding the Fourth Proportional to 1,039.04, 1,558.48 and 309.09

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Solution

The fourth proportional to 1,039.04, 1,558.48 and 309.09 is: 463.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,039.04 : 1,558.48 = 309.09 : x
  2. Step 2: Convert to fraction form
    1,039.04/1,558.48 = 309.09/x
  3. Step 3: Cross multiply
    1,039.04x = 1,558.48 × 309.09
  4. Step 4: Simplify right side
    1,039.04x = 481,710.58
  5. Step 5: Solve for x
    x = 481,710.58/1,039.04
  6. Step 6: Final answer
    x = 463.61

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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.