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Finding the Fourth Proportional to 1,292.69, 1,784.53 and 1,012.43

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Solution

The fourth proportional to 1,292.69, 1,784.53 and 1,012.43 is: 1,397.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,292.69 : 1,784.53 = 1,012.43 : x
  2. Step 2: Convert to fraction form
    1,292.69/1,784.53 = 1,012.43/x
  3. Step 3: Cross multiply
    1,292.69x = 1,784.53 × 1,012.43
  4. Step 4: Simplify right side
    1,292.69x = 1,806,717.43
  5. Step 5: Solve for x
    x = 1,806,717.43/1,292.69
  6. Step 6: Final answer
    x = 1,397.64

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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.