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Finding the Fourth Proportional to 948.18, 1,308.45 and 528.54

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Solution

The fourth proportional to 948.18, 1,308.45 and 528.54 is: 729.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    948.18 : 1,308.45 = 528.54 : x
  2. Step 2: Convert to fraction form
    948.18/1,308.45 = 528.54/x
  3. Step 3: Cross multiply
    948.18x = 1,308.45 × 528.54
  4. Step 4: Simplify right side
    948.18x = 691,568.16
  5. Step 5: Solve for x
    x = 691,568.16/948.18
  6. Step 6: Final answer
    x = 729.36

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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.