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Finding the Fourth Proportional to 1,317.61, 1,976.13 and 393.01

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Solution

The fourth proportional to 1,317.61, 1,976.13 and 393.01 is: 589.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,317.61 : 1,976.13 = 393.01 : x
  2. Step 2: Convert to fraction form
    1,317.61/1,976.13 = 393.01/x
  3. Step 3: Cross multiply
    1,317.61x = 1,976.13 × 393.01
  4. Step 4: Simplify right side
    1,317.61x = 776,638.85
  5. Step 5: Solve for x
    x = 776,638.85/1,317.61
  6. Step 6: Final answer
    x = 589.43

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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.