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Finding the Fourth Proportional to 1,312.61, 1,968.10 and 618.85

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Solution

The fourth proportional to 1,312.61, 1,968.10 and 618.85 is: 927.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,312.61 : 1,968.10 = 618.85 : x
  2. Step 2: Convert to fraction form
    1,312.61/1,968.10 = 618.85/x
  3. Step 3: Cross multiply
    1,312.61x = 1,968.10 × 618.85
  4. Step 4: Simplify right side
    1,312.61x = 1,217,958.69
  5. Step 5: Solve for x
    x = 1,217,958.69/1,312.61
  6. Step 6: Final answer
    x = 927.89

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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.