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Finding the Fourth Proportional to 1,022.32, 1,409.96 and 628.96

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Solution

The fourth proportional to 1,022.32, 1,409.96 and 628.96 is: 867.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,022.32 : 1,409.96 = 628.96 : x
  2. Step 2: Convert to fraction form
    1,022.32/1,409.96 = 628.96/x
  3. Step 3: Cross multiply
    1,022.32x = 1,409.96 × 628.96
  4. Step 4: Simplify right side
    1,022.32x = 886,808.44
  5. Step 5: Solve for x
    x = 886,808.44/1,022.32
  6. Step 6: Final answer
    x = 867.45

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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.