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Finding the Fourth Proportional to 1,317.65, 1,976.78 and 393.12

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Solution

The fourth proportional to 1,317.65, 1,976.78 and 393.12 is: 589.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,317.65 : 1,976.78 = 393.12 : x
  2. Step 2: Convert to fraction form
    1,317.65/1,976.78 = 393.12/x
  3. Step 3: Cross multiply
    1,317.65x = 1,976.78 × 393.12
  4. Step 4: Simplify right side
    1,317.65x = 777,112.74
  5. Step 5: Solve for x
    x = 777,112.74/1,317.65
  6. Step 6: Final answer
    x = 589.77

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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.