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Finding the Fourth Proportional to 598, 823.53 and 585.28

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Solution

The fourth proportional to 598, 823.53 and 585.28 is: 806.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    598 : 823.53 = 585.28 : x
  2. Step 2: Convert to fraction form
    598/823.53 = 585.28/x
  3. Step 3: Cross multiply
    598x = 823.53 × 585.28
  4. Step 4: Simplify right side
    598x = 481,995.64
  5. Step 5: Solve for x
    x = 481,995.64/598
  6. Step 6: Final answer
    x = 806.01

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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.