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Finding the Fourth Proportional to 922.45, 1,382.87 and 511.51

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Solution

The fourth proportional to 922.45, 1,382.87 and 511.51 is: 766.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    922.45 : 1,382.87 = 511.51 : x
  2. Step 2: Convert to fraction form
    922.45/1,382.87 = 511.51/x
  3. Step 3: Cross multiply
    922.45x = 1,382.87 × 511.51
  4. Step 4: Simplify right side
    922.45x = 707,349.28
  5. Step 5: Solve for x
    x = 707,349.28/922.45
  6. Step 6: Final answer
    x = 766.82

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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.