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Finding the Fourth Proportional to 1,240.71, 1,711.19 and 1,054.81

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Solution

The fourth proportional to 1,240.71, 1,711.19 and 1,054.81 is: 1,454.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,240.71 : 1,711.19 = 1,054.81 : x
  2. Step 2: Convert to fraction form
    1,240.71/1,711.19 = 1,054.81/x
  3. Step 3: Cross multiply
    1,240.71x = 1,711.19 × 1,054.81
  4. Step 4: Simplify right side
    1,240.71x = 1,804,980.32
  5. Step 5: Solve for x
    x = 1,804,980.32/1,240.71
  6. Step 6: Final answer
    x = 1,454.80

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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.