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Finding the Fourth Proportional to 811.26, 1,118.07 and 598.23

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Solution

The fourth proportional to 811.26, 1,118.07 and 598.23 is: 824.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    811.26 : 1,118.07 = 598.23 : x
  2. Step 2: Convert to fraction form
    811.26/1,118.07 = 598.23/x
  3. Step 3: Cross multiply
    811.26x = 1,118.07 × 598.23
  4. Step 4: Simplify right side
    811.26x = 668,863.02
  5. Step 5: Solve for x
    x = 668,863.02/811.26
  6. Step 6: Final answer
    x = 824.47

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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.