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Finding the Fourth Proportional to 1,308.86, 1,964.08 and 693.02

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Solution

The fourth proportional to 1,308.86, 1,964.08 and 693.02 is: 1,039.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,308.86 : 1,964.08 = 693.02 : x
  2. Step 2: Convert to fraction form
    1,308.86/1,964.08 = 693.02/x
  3. Step 3: Cross multiply
    1,308.86x = 1,964.08 × 693.02
  4. Step 4: Simplify right side
    1,308.86x = 1,361,146.72
  5. Step 5: Solve for x
    x = 1,361,146.72/1,308.86
  6. Step 6: Final answer
    x = 1,039.95

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.