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Finding the Fourth Proportional to 1,260.23, 1,740.78 and 1,051.09

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Solution

The fourth proportional to 1,260.23, 1,740.78 and 1,051.09 is: 1,451.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,260.23 : 1,740.78 = 1,051.09 : x
  2. Step 2: Convert to fraction form
    1,260.23/1,740.78 = 1,051.09/x
  3. Step 3: Cross multiply
    1,260.23x = 1,740.78 × 1,051.09
  4. Step 4: Simplify right side
    1,260.23x = 1,829,716.45
  5. Step 5: Solve for x
    x = 1,829,716.45/1,260.23
  6. Step 6: Final answer
    x = 1,451.89

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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.