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Finding the Fourth Proportional to 948.78, 1,308.96 and 762.75

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Solution

The fourth proportional to 948.78, 1,308.96 and 762.75 is: 1,052.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    948.78 : 1,308.96 = 762.75 : x
  2. Step 2: Convert to fraction form
    948.78/1,308.96 = 762.75/x
  3. Step 3: Cross multiply
    948.78x = 1,308.96 × 762.75
  4. Step 4: Simplify right side
    948.78x = 998,409.24
  5. Step 5: Solve for x
    x = 998,409.24/948.78
  6. Step 6: Final answer
    x = 1,052.31

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1.5x scale

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.