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Finding the Fourth Proportional to 1,312.04, 1,968.30 and 446.44

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Solution

The fourth proportional to 1,312.04, 1,968.30 and 446.44 is: 669.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,312.04 : 1,968.30 = 446.44 : x
  2. Step 2: Convert to fraction form
    1,312.04/1,968.30 = 446.44/x
  3. Step 3: Cross multiply
    1,312.04x = 1,968.30 × 446.44
  4. Step 4: Simplify right side
    1,312.04x = 878,727.85
  5. Step 5: Solve for x
    x = 878,727.85/1,312.04
  6. Step 6: Final answer
    x = 669.74

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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.