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Finding the Fourth Proportional to 686.25, 946.65 and 489.87

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Solution

The fourth proportional to 686.25, 946.65 and 489.87 is: 675.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    686.25 : 946.65 = 489.87 : x
  2. Step 2: Convert to fraction form
    686.25/946.65 = 489.87/x
  3. Step 3: Cross multiply
    686.25x = 946.65 × 489.87
  4. Step 4: Simplify right side
    686.25x = 463,735.44
  5. Step 5: Solve for x
    x = 463,735.44/686.25
  6. Step 6: Final answer
    x = 675.75

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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.