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Finding the Fourth Proportional to 1,240.93, 1,861.94 and 471.25

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Solution

The fourth proportional to 1,240.93, 1,861.94 and 471.25 is: 707.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,240.93 : 1,861.94 = 471.25 : x
  2. Step 2: Convert to fraction form
    1,240.93/1,861.94 = 471.25/x
  3. Step 3: Cross multiply
    1,240.93x = 1,861.94 × 471.25
  4. Step 4: Simplify right side
    1,240.93x = 877,439.23
  5. Step 5: Solve for x
    x = 877,439.23/1,240.93
  6. Step 6: Final answer
    x = 707.08

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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.