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Finding the Fourth Proportional to 1,292.93, 1,784.33 and 733.41

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Solution

The fourth proportional to 1,292.93, 1,784.33 and 733.41 is: 1,012.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,292.93 : 1,784.33 = 733.41 : x
  2. Step 2: Convert to fraction form
    1,292.93/1,784.33 = 733.41/x
  3. Step 3: Cross multiply
    1,292.93x = 1,784.33 × 733.41
  4. Step 4: Simplify right side
    1,292.93x = 1,308,645.47
  5. Step 5: Solve for x
    x = 1,308,645.47/1,292.93
  6. Step 6: Final answer
    x = 1,012.15

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.