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Finding the Fourth Proportional to 1,312.19, 1,968.29 and 338.22

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Solution

The fourth proportional to 1,312.19, 1,968.29 and 338.22 is: 507.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,312.19 : 1,968.29 = 338.22 : x
  2. Step 2: Convert to fraction form
    1,312.19/1,968.29 = 338.22/x
  3. Step 3: Cross multiply
    1,312.19x = 1,968.29 × 338.22
  4. Step 4: Simplify right side
    1,312.19x = 665,715.04
  5. Step 5: Solve for x
    x = 665,715.04/1,312.19
  6. Step 6: Final answer
    x = 507.33

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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.