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Finding the Fourth Proportional to 1,348.97, 2,022.67 and 526.30

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Solution

The fourth proportional to 1,348.97, 2,022.67 and 526.30 is: 789.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,348.97 : 2,022.67 = 526.30 : x
  2. Step 2: Convert to fraction form
    1,348.97/2,022.67 = 526.30/x
  3. Step 3: Cross multiply
    1,348.97x = 2,022.67 × 526.30
  4. Step 4: Simplify right side
    1,348.97x = 1,064,526.82
  5. Step 5: Solve for x
    x = 1,064,526.82/1,348.97
  6. Step 6: Final answer
    x = 789.14

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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.