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Finding the Fourth Proportional to 1,312.53, 1,968.79 and 338.55

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Solution

The fourth proportional to 1,312.53, 1,968.79 and 338.55 is: 507.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,312.53 : 1,968.79 = 338.55 : x
  2. Step 2: Convert to fraction form
    1,312.53/1,968.79 = 338.55/x
  3. Step 3: Cross multiply
    1,312.53x = 1,968.79 × 338.55
  4. Step 4: Simplify right side
    1,312.53x = 666,544.30
  5. Step 5: Solve for x
    x = 666,544.30/1,312.53
  6. Step 6: Final answer
    x = 507.83

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.