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Finding the Fourth Proportional to 1,213.10, 1,818.30 and 693.35

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Solution

The fourth proportional to 1,213.10, 1,818.30 and 693.35 is: 1,039.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,213.10 : 1,818.30 = 693.35 : x
  2. Step 2: Convert to fraction form
    1,213.10/1,818.30 = 693.35/x
  3. Step 3: Cross multiply
    1,213.10x = 1,818.30 × 693.35
  4. Step 4: Simplify right side
    1,213.10x = 1,260,718.31
  5. Step 5: Solve for x
    x = 1,260,718.31/1,213.10
  6. Step 6: Final answer
    x = 1,039.25

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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.