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Finding the Fourth Proportional to 1,214.82, 1,676.49 and 690.84

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Solution

The fourth proportional to 1,214.82, 1,676.49 and 690.84 is: 953.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,214.82 : 1,676.49 = 690.84 : x
  2. Step 2: Convert to fraction form
    1,214.82/1,676.49 = 690.84/x
  3. Step 3: Cross multiply
    1,214.82x = 1,676.49 × 690.84
  4. Step 4: Simplify right side
    1,214.82x = 1,158,186.35
  5. Step 5: Solve for x
    x = 1,158,186.35/1,214.82
  6. Step 6: Final answer
    x = 953.38

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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.