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Finding the Fourth Proportional to 762.36, 1,141.92 and 436.92

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Solution

The fourth proportional to 762.36, 1,141.92 and 436.92 is: 654.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    762.36 : 1,141.92 = 436.92 : x
  2. Step 2: Convert to fraction form
    762.36/1,141.92 = 436.92/x
  3. Step 3: Cross multiply
    762.36x = 1,141.92 × 436.92
  4. Step 4: Simplify right side
    762.36x = 498,927.69
  5. Step 5: Solve for x
    x = 498,927.69/762.36
  6. Step 6: Final answer
    x = 654.45

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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.