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Finding the Fourth Proportional to 1,281.42, 1,922.31 and 588.36

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Solution

The fourth proportional to 1,281.42, 1,922.31 and 588.36 is: 882.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,281.42 : 1,922.31 = 588.36 : x
  2. Step 2: Convert to fraction form
    1,281.42/1,922.31 = 588.36/x
  3. Step 3: Cross multiply
    1,281.42x = 1,922.31 × 588.36
  4. Step 4: Simplify right side
    1,281.42x = 1,131,010.31
  5. Step 5: Solve for x
    x = 1,131,010.31/1,281.42
  6. Step 6: Final answer
    x = 882.62

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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.