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Finding the Fourth Proportional to 948.29, 1,308.85 and 616.14

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Solution

The fourth proportional to 948.29, 1,308.85 and 616.14 is: 850.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    948.29 : 1,308.85 = 616.14 : x
  2. Step 2: Convert to fraction form
    948.29/1,308.85 = 616.14/x
  3. Step 3: Cross multiply
    948.29x = 1,308.85 × 616.14
  4. Step 4: Simplify right side
    948.29x = 806,441.31
  5. Step 5: Solve for x
    x = 806,441.31/948.29
  6. Step 6: Final answer
    x = 850.41

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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.