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Finding the Fourth Proportional to 1,215.16, 1,676.93 and 691.19

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Solution

The fourth proportional to 1,215.16, 1,676.93 and 691.19 is: 953.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,215.16 : 1,676.93 = 691.19 : x
  2. Step 2: Convert to fraction form
    1,215.16/1,676.93 = 691.19/x
  3. Step 3: Cross multiply
    1,215.16x = 1,676.93 × 691.19
  4. Step 4: Simplify right side
    1,215.16x = 1,159,077.25
  5. Step 5: Solve for x
    x = 1,159,077.25/1,215.16
  6. Step 6: Final answer
    x = 953.85

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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.