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Finding the Fourth Proportional to 1,085.34, 1,497.82 and 613.26

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Solution

The fourth proportional to 1,085.34, 1,497.82 and 613.26 is: 846.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,085.34 : 1,497.82 = 613.26 : x
  2. Step 2: Convert to fraction form
    1,085.34/1,497.82 = 613.26/x
  3. Step 3: Cross multiply
    1,085.34x = 1,497.82 × 613.26
  4. Step 4: Simplify right side
    1,085.34x = 918,553.09
  5. Step 5: Solve for x
    x = 918,553.09/1,085.34
  6. Step 6: Final answer
    x = 846.33

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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.