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Finding the Fourth Proportional to 948.31, 1,308.59 and 528.64

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Solution

The fourth proportional to 948.31, 1,308.59 and 528.64 is: 729.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    948.31 : 1,308.59 = 528.64 : x
  2. Step 2: Convert to fraction form
    948.31/1,308.59 = 528.64/x
  3. Step 3: Cross multiply
    948.31x = 1,308.59 × 528.64
  4. Step 4: Simplify right side
    948.31x = 691,763.83
  5. Step 5: Solve for x
    x = 691,763.83/948.31
  6. Step 6: Final answer
    x = 729.47

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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.