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Finding the Fourth Proportional to 676.30, 948.10 and 676.30

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Solution

The fourth proportional to 676.30, 948.10 and 676.30 is: 948.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    676.30 : 948.10 = 676.30 : x
  2. Step 2: Convert to fraction form
    676.30/948.10 = 676.30/x
  3. Step 3: Cross multiply
    676.30x = 948.10 × 676.30
  4. Step 4: Simplify right side
    676.30x = 641,200.03
  5. Step 5: Solve for x
    x = 641,200.03/676.30
  6. Step 6: Final answer
    x = 948.10

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.