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Finding the Fourth Proportional to 646.98, 970.14 and 461.78

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Solution

The fourth proportional to 646.98, 970.14 and 461.78 is: 692.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    646.98 : 970.14 = 461.78 : x
  2. Step 2: Convert to fraction form
    646.98/970.14 = 461.78/x
  3. Step 3: Cross multiply
    646.98x = 970.14 × 461.78
  4. Step 4: Simplify right side
    646.98x = 447,986.40
  5. Step 5: Solve for x
    x = 447,986.40/646.98
  6. Step 6: Final answer
    x = 692.43

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.