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Finding the Fourth Proportional to 1,281.19, 1,922.27 and 511.75

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Solution

The fourth proportional to 1,281.19, 1,922.27 and 511.75 is: 767.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,281.19 : 1,922.27 = 511.75 : x
  2. Step 2: Convert to fraction form
    1,281.19/1,922.27 = 511.75/x
  3. Step 3: Cross multiply
    1,281.19x = 1,922.27 × 511.75
  4. Step 4: Simplify right side
    1,281.19x = 983,719.11
  5. Step 5: Solve for x
    x = 983,719.11/1,281.19
  6. Step 6: Final answer
    x = 767.82

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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.