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Finding the Fourth Proportional to 702.45, 966.94 and 676.93

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Solution

The fourth proportional to 702.45, 966.94 and 676.93 is: 931.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    702.45 : 966.94 = 676.93 : x
  2. Step 2: Convert to fraction form
    702.45/966.94 = 676.93/x
  3. Step 3: Cross multiply
    702.45x = 966.94 × 676.93
  4. Step 4: Simplify right side
    702.45x = 654,550.69
  5. Step 5: Solve for x
    x = 654,550.69/702.45
  6. Step 6: Final answer
    x = 931.81

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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.