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Finding the Fourth Proportional to 963.02, 1,328.90 and 543.40

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Solution

The fourth proportional to 963.02, 1,328.90 and 543.40 is: 749.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    963.02 : 1,328.90 = 543.40 : x
  2. Step 2: Convert to fraction form
    963.02/1,328.90 = 543.40/x
  3. Step 3: Cross multiply
    963.02x = 1,328.90 × 543.40
  4. Step 4: Simplify right side
    963.02x = 722,124.26
  5. Step 5: Solve for x
    x = 722,124.26/963.02
  6. Step 6: Final answer
    x = 749.85

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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.