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Finding the Fourth Proportional to 962.82, 1,328.70 and 613.50

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Solution

The fourth proportional to 962.82, 1,328.70 and 613.50 is: 846.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    962.82 : 1,328.70 = 613.50 : x
  2. Step 2: Convert to fraction form
    962.82/1,328.70 = 613.50/x
  3. Step 3: Cross multiply
    962.82x = 1,328.70 × 613.50
  4. Step 4: Simplify right side
    962.82x = 815,157.45
  5. Step 5: Solve for x
    x = 815,157.45/962.82
  6. Step 6: Final answer
    x = 846.64

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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.