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Finding the Fourth Proportional to 948.10, 1,308.36 and 528.46

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Solution

The fourth proportional to 948.10, 1,308.36 and 528.46 is: 729.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    948.10 : 1,308.36 = 528.46 : x
  2. Step 2: Convert to fraction form
    948.10/1,308.36 = 528.46/x
  3. Step 3: Cross multiply
    948.10x = 1,308.36 × 528.46
  4. Step 4: Simplify right side
    948.10x = 691,415.93
  5. Step 5: Solve for x
    x = 691,415.93/948.10
  6. Step 6: Final answer
    x = 729.26

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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.