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Finding the Fourth Proportional to 1,100.45, 1,518.80 and 628.35

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Solution

The fourth proportional to 1,100.45, 1,518.80 and 628.35 is: 867.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,100.45 : 1,518.80 = 628.35 : x
  2. Step 2: Convert to fraction form
    1,100.45/1,518.80 = 628.35/x
  3. Step 3: Cross multiply
    1,100.45x = 1,518.80 × 628.35
  4. Step 4: Simplify right side
    1,100.45x = 954,337.98
  5. Step 5: Solve for x
    x = 954,337.98/1,100.45
  6. Step 6: Final answer
    x = 867.23

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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.