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Finding the Fourth Proportional to 1,240.64, 1,858.40 and 854.08

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Solution

The fourth proportional to 1,240.64, 1,858.40 and 854.08 is: 1,279.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,240.64 : 1,858.40 = 854.08 : x
  2. Step 2: Convert to fraction form
    1,240.64/1,858.40 = 854.08/x
  3. Step 3: Cross multiply
    1,240.64x = 1,858.40 × 854.08
  4. Step 4: Simplify right side
    1,240.64x = 1,587,222.27
  5. Step 5: Solve for x
    x = 1,587,222.27/1,240.64
  6. Step 6: Final answer
    x = 1,279.36

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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.