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Finding the Fourth Proportional to 1,292.85, 1,784.15 and 733.31

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Solution

The fourth proportional to 1,292.85, 1,784.15 and 733.31 is: 1,011.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,292.85 : 1,784.15 = 733.31 : x
  2. Step 2: Convert to fraction form
    1,292.85/1,784.15 = 733.31/x
  3. Step 3: Cross multiply
    1,292.85x = 1,784.15 × 733.31
  4. Step 4: Simplify right side
    1,292.85x = 1,308,326.12
  5. Step 5: Solve for x
    x = 1,308,326.12/1,292.85
  6. Step 6: Final answer
    x = 1,011.97

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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.