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Finding the Fourth Proportional to 1,085.26, 1,497.59 and 613.21

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Solution

The fourth proportional to 1,085.26, 1,497.59 and 613.21 is: 846.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,085.26 : 1,497.59 = 613.21 : x
  2. Step 2: Convert to fraction form
    1,085.26/1,497.59 = 613.21/x
  3. Step 3: Cross multiply
    1,085.26x = 1,497.59 × 613.21
  4. Step 4: Simplify right side
    1,085.26x = 918,331.21
  5. Step 5: Solve for x
    x = 918,331.21/1,085.26
  6. Step 6: Final answer
    x = 846.19

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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.