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Finding the Fourth Proportional to 1,314.68, 1,970.52 and 664.04

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Solution

The fourth proportional to 1,314.68, 1,970.52 and 664.04 is: 995.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,314.68 : 1,970.52 = 664.04 : x
  2. Step 2: Convert to fraction form
    1,314.68/1,970.52 = 664.04/x
  3. Step 3: Cross multiply
    1,314.68x = 1,970.52 × 664.04
  4. Step 4: Simplify right side
    1,314.68x = 1,308,494.25
  5. Step 5: Solve for x
    x = 1,308,494.25/1,314.68
  6. Step 6: Final answer
    x = 995.30

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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.