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Finding the Fourth Proportional to 1,312.22, 1,968.46 and 338.34

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Solution

The fourth proportional to 1,312.22, 1,968.46 and 338.34 is: 507.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,312.22 : 1,968.46 = 338.34 : x
  2. Step 2: Convert to fraction form
    1,312.22/1,968.46 = 338.34/x
  3. Step 3: Cross multiply
    1,312.22x = 1,968.46 × 338.34
  4. Step 4: Simplify right side
    1,312.22x = 666,008.76
  5. Step 5: Solve for x
    x = 666,008.76/1,312.22
  6. Step 6: Final answer
    x = 507.54

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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.