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Finding the Fourth Proportional to 999.51, 1,378.62 and 645.54

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Solution

The fourth proportional to 999.51, 1,378.62 and 645.54 is: 890.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    999.51 : 1,378.62 = 645.54 : x
  2. Step 2: Convert to fraction form
    999.51/1,378.62 = 645.54/x
  3. Step 3: Cross multiply
    999.51x = 1,378.62 × 645.54
  4. Step 4: Simplify right side
    999.51x = 889,954.35
  5. Step 5: Solve for x
    x = 889,954.35/999.51
  6. Step 6: Final answer
    x = 890.39

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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.