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Finding the Fourth Proportional to 1,117.09, 1,539.91 and 743.28

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Solution

The fourth proportional to 1,117.09, 1,539.91 and 743.28 is: 1,024.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,117.09 : 1,539.91 = 743.28 : x
  2. Step 2: Convert to fraction form
    1,117.09/1,539.91 = 743.28/x
  3. Step 3: Cross multiply
    1,117.09x = 1,539.91 × 743.28
  4. Step 4: Simplify right side
    1,117.09x = 1,144,584.30
  5. Step 5: Solve for x
    x = 1,144,584.30/1,117.09
  6. Step 6: Final answer
    x = 1,024.61

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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.