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Finding the Fourth Proportional to 1,214.67, 1,676.14 and 690.78

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Solution

The fourth proportional to 1,214.67, 1,676.14 and 690.78 is: 953.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,214.67 : 1,676.14 = 690.78 : x
  2. Step 2: Convert to fraction form
    1,214.67/1,676.14 = 690.78/x
  3. Step 3: Cross multiply
    1,214.67x = 1,676.14 × 690.78
  4. Step 4: Simplify right side
    1,214.67x = 1,157,843.99
  5. Step 5: Solve for x
    x = 1,157,843.99/1,214.67
  6. Step 6: Final answer
    x = 953.22

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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.