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Finding the Fourth Proportional to 1,312.18, 1,968.82 and 490.34

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Solution

The fourth proportional to 1,312.18, 1,968.82 and 490.34 is: 735.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,312.18 : 1,968.82 = 490.34 : x
  2. Step 2: Convert to fraction form
    1,312.18/1,968.82 = 490.34/x
  3. Step 3: Cross multiply
    1,312.18x = 1,968.82 × 490.34
  4. Step 4: Simplify right side
    1,312.18x = 965,394.89
  5. Step 5: Solve for x
    x = 965,394.89/1,312.18
  6. Step 6: Final answer
    x = 735.72

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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.