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Finding the Fourth Proportional to 1,085.95, 1,497.49 and 712.54

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Solution

The fourth proportional to 1,085.95, 1,497.49 and 712.54 is: 982.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,085.95 : 1,497.49 = 712.54 : x
  2. Step 2: Convert to fraction form
    1,085.95/1,497.49 = 712.54/x
  3. Step 3: Cross multiply
    1,085.95x = 1,497.49 × 712.54
  4. Step 4: Simplify right side
    1,085.95x = 1,067,021.52
  5. Step 5: Solve for x
    x = 1,067,021.52/1,085.95
  6. Step 6: Final answer
    x = 982.57

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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.