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Finding the Fourth Proportional to 691.37, 947.86 and 679.09

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Solution

The fourth proportional to 691.37, 947.86 and 679.09 is: 931.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    691.37 : 947.86 = 679.09 : x
  2. Step 2: Convert to fraction form
    691.37/947.86 = 679.09/x
  3. Step 3: Cross multiply
    691.37x = 947.86 × 679.09
  4. Step 4: Simplify right side
    691.37x = 643,677.51
  5. Step 5: Solve for x
    x = 643,677.51/691.37
  6. Step 6: Final answer
    x = 931.02

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.