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Finding the Fourth Proportional to 1,281.58, 1,922.91 and 541.37

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Solution

The fourth proportional to 1,281.58, 1,922.91 and 541.37 is: 812.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,281.58 : 1,922.91 = 541.37 : x
  2. Step 2: Convert to fraction form
    1,281.58/1,922.91 = 541.37/x
  3. Step 3: Cross multiply
    1,281.58x = 1,922.91 × 541.37
  4. Step 4: Simplify right side
    1,281.58x = 1,041,010.59
  5. Step 5: Solve for x
    x = 1,041,010.59/1,281.58
  6. Step 6: Final answer
    x = 812.29

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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.