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Finding the Fourth Proportional to 1,312.36, 1,968.61 and 338.47

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Solution

The fourth proportional to 1,312.36, 1,968.61 and 338.47 is: 507.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,312.36 : 1,968.61 = 338.47 : x
  2. Step 2: Convert to fraction form
    1,312.36/1,968.61 = 338.47/x
  3. Step 3: Cross multiply
    1,312.36x = 1,968.61 × 338.47
  4. Step 4: Simplify right side
    1,312.36x = 666,315.43
  5. Step 5: Solve for x
    x = 666,315.43/1,312.36
  6. Step 6: Final answer
    x = 507.72

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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.