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Finding the Fourth Proportional to 1,215.40, 1,676.55 and 691.33

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Solution

The fourth proportional to 1,215.40, 1,676.55 and 691.33 is: 953.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,215.40 : 1,676.55 = 691.33 : x
  2. Step 2: Convert to fraction form
    1,215.40/1,676.55 = 691.33/x
  3. Step 3: Cross multiply
    1,215.40x = 1,676.55 × 691.33
  4. Step 4: Simplify right side
    1,215.40x = 1,159,049.31
  5. Step 5: Solve for x
    x = 1,159,049.31/1,215.40
  6. Step 6: Final answer
    x = 953.64

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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.