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Finding the Fourth Proportional to 1,434.50, 1,978.53 and 993.14

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Solution

The fourth proportional to 1,434.50, 1,978.53 and 993.14 is: 1,369.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,434.50 : 1,978.53 = 993.14 : x
  2. Step 2: Convert to fraction form
    1,434.50/1,978.53 = 993.14/x
  3. Step 3: Cross multiply
    1,434.50x = 1,978.53 × 993.14
  4. Step 4: Simplify right side
    1,434.50x = 1,964,957.28
  5. Step 5: Solve for x
    x = 1,964,957.28/1,434.50
  6. Step 6: Final answer
    x = 1,369.79

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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.