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Finding the Fourth Proportional to 920.84, 1,381.26 and 536.36

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Solution

The fourth proportional to 920.84, 1,381.26 and 536.36 is: 804.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    920.84 : 1,381.26 = 536.36 : x
  2. Step 2: Convert to fraction form
    920.84/1,381.26 = 536.36/x
  3. Step 3: Cross multiply
    920.84x = 1,381.26 × 536.36
  4. Step 4: Simplify right side
    920.84x = 740,852.61
  5. Step 5: Solve for x
    x = 740,852.61/920.84
  6. Step 6: Final answer
    x = 804.54

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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.