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Finding the Fourth Proportional to 962.33, 1,328.45 and 647.80

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Solution

The fourth proportional to 962.33, 1,328.45 and 647.80 is: 894.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    962.33 : 1,328.45 = 647.80 : x
  2. Step 2: Convert to fraction form
    962.33/1,328.45 = 647.80/x
  3. Step 3: Cross multiply
    962.33x = 1,328.45 × 647.80
  4. Step 4: Simplify right side
    962.33x = 860,563.35
  5. Step 5: Solve for x
    x = 860,563.35/962.33
  6. Step 6: Final answer
    x = 894.25

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.