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Finding the Fourth Proportional to 1,315.94, 1,973.91 and 536.27

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Solution

The fourth proportional to 1,315.94, 1,973.91 and 536.27 is: 804.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,315.94 : 1,973.91 = 536.27 : x
  2. Step 2: Convert to fraction form
    1,315.94/1,973.91 = 536.27/x
  3. Step 3: Cross multiply
    1,315.94x = 1,973.91 × 536.27
  4. Step 4: Simplify right side
    1,315.94x = 1,058,548.72
  5. Step 5: Solve for x
    x = 1,058,548.72/1,315.94
  6. Step 6: Final answer
    x = 804.41

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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.