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Finding the Fourth Proportional to 1,024.14, 1,412.74 and 645.44

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Solution

The fourth proportional to 1,024.14, 1,412.74 and 645.44 is: 890.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,024.14 : 1,412.74 = 645.44 : x
  2. Step 2: Convert to fraction form
    1,024.14/1,412.74 = 645.44/x
  3. Step 3: Cross multiply
    1,024.14x = 1,412.74 × 645.44
  4. Step 4: Simplify right side
    1,024.14x = 911,832.65
  5. Step 5: Solve for x
    x = 911,832.65/1,024.14
  6. Step 6: Final answer
    x = 890.34

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.