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Finding the Fourth Proportional to 1,348.90, 2,022.22 and 526.96

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Solution

The fourth proportional to 1,348.90, 2,022.22 and 526.96 is: 789.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,348.90 : 2,022.22 = 526.96 : x
  2. Step 2: Convert to fraction form
    1,348.90/2,022.22 = 526.96/x
  3. Step 3: Cross multiply
    1,348.90x = 2,022.22 × 526.96
  4. Step 4: Simplify right side
    1,348.90x = 1,065,617.90
  5. Step 5: Solve for x
    x = 1,065,617.90/1,348.90
  6. Step 6: Final answer
    x = 789.99

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.