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Finding the Fourth Proportional to 1,117.27, 1,674.83 and 386.29

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Solution

The fourth proportional to 1,117.27, 1,674.83 and 386.29 is: 579.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,117.27 : 1,674.83 = 386.29 : x
  2. Step 2: Convert to fraction form
    1,117.27/1,674.83 = 386.29/x
  3. Step 3: Cross multiply
    1,117.27x = 1,674.83 × 386.29
  4. Step 4: Simplify right side
    1,117.27x = 646,968.15
  5. Step 5: Solve for x
    x = 646,968.15/1,117.27
  6. Step 6: Final answer
    x = 579.06

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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.