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Finding the Fourth Proportional to 948.44, 1,308.81 and 528.80

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Solution

The fourth proportional to 948.44, 1,308.81 and 528.80 is: 729.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    948.44 : 1,308.81 = 528.80 : x
  2. Step 2: Convert to fraction form
    948.44/1,308.81 = 528.80/x
  3. Step 3: Cross multiply
    948.44x = 1,308.81 × 528.80
  4. Step 4: Simplify right side
    948.44x = 692,099.07
  5. Step 5: Solve for x
    x = 692,099.07/948.44
  6. Step 6: Final answer
    x = 729.73

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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.