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Finding the Fourth Proportional to 1,315.62, 1,968.78 and 968.16

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Solution

The fourth proportional to 1,315.62, 1,968.78 and 968.16 is: 1,448.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,315.62 : 1,968.78 = 968.16 : x
  2. Step 2: Convert to fraction form
    1,315.62/1,968.78 = 968.16/x
  3. Step 3: Cross multiply
    1,315.62x = 1,968.78 × 968.16
  4. Step 4: Simplify right side
    1,315.62x = 1,906,094.04
  5. Step 5: Solve for x
    x = 1,906,094.04/1,315.62
  6. Step 6: Final answer
    x = 1,448.82

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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.