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Finding the Fourth Proportional to 1,433.97, 1,978.61 and 962.55

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Solution

The fourth proportional to 1,433.97, 1,978.61 and 962.55 is: 1,328.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,433.97 : 1,978.61 = 962.55 : x
  2. Step 2: Convert to fraction form
    1,433.97/1,978.61 = 962.55/x
  3. Step 3: Cross multiply
    1,433.97x = 1,978.61 × 962.55
  4. Step 4: Simplify right side
    1,433.97x = 1,904,503.57
  5. Step 5: Solve for x
    x = 1,904,503.57/1,433.97
  6. Step 6: Final answer
    x = 1,328.14

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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.