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Finding the Fourth Proportional to 1,270.60, 1,904.52 and 540.52

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Solution

The fourth proportional to 1,270.60, 1,904.52 and 540.52 is: 810.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,270.60 : 1,904.52 = 540.52 : x
  2. Step 2: Convert to fraction form
    1,270.60/1,904.52 = 540.52/x
  3. Step 3: Cross multiply
    1,270.60x = 1,904.52 × 540.52
  4. Step 4: Simplify right side
    1,270.60x = 1,029,431.15
  5. Step 5: Solve for x
    x = 1,029,431.15/1,270.60
  6. Step 6: Final answer
    x = 810.19

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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.