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Finding the Fourth Proportional to 1,312.74, 1,811.61 and 723.31

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Solution

The fourth proportional to 1,312.74, 1,811.61 and 723.31 is: 998.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,312.74 : 1,811.61 = 723.31 : x
  2. Step 2: Convert to fraction form
    1,312.74/1,811.61 = 723.31/x
  3. Step 3: Cross multiply
    1,312.74x = 1,811.61 × 723.31
  4. Step 4: Simplify right side
    1,312.74x = 1,310,355.63
  5. Step 5: Solve for x
    x = 1,310,355.63/1,312.74
  6. Step 6: Final answer
    x = 998.18

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.