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Finding the Fourth Proportional to 1,054.26, 1,455.39 and 740.19

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Solution

The fourth proportional to 1,054.26, 1,455.39 and 740.19 is: 1,021.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,054.26 : 1,455.39 = 740.19 : x
  2. Step 2: Convert to fraction form
    1,054.26/1,455.39 = 740.19/x
  3. Step 3: Cross multiply
    1,054.26x = 1,455.39 × 740.19
  4. Step 4: Simplify right side
    1,054.26x = 1,077,265.12
  5. Step 5: Solve for x
    x = 1,077,265.12/1,054.26
  6. Step 6: Final answer
    x = 1,021.82

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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.