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Finding the Fourth Proportional to 1,240.93, 1,861.39 and 316.48

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Solution

The fourth proportional to 1,240.93, 1,861.39 and 316.48 is: 474.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,240.93 : 1,861.39 = 316.48 : x
  2. Step 2: Convert to fraction form
    1,240.93/1,861.39 = 316.48/x
  3. Step 3: Cross multiply
    1,240.93x = 1,861.39 × 316.48
  4. Step 4: Simplify right side
    1,240.93x = 589,090.16
  5. Step 5: Solve for x
    x = 589,090.16/1,240.93
  6. Step 6: Final answer
    x = 474.72

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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.