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Finding the Fourth Proportional to 598.04, 892.67 and 556.26

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Solution

The fourth proportional to 598.04, 892.67 and 556.26 is: 830.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    598.04 : 892.67 = 556.26 : x
  2. Step 2: Convert to fraction form
    598.04/892.67 = 556.26/x
  3. Step 3: Cross multiply
    598.04x = 892.67 × 556.26
  4. Step 4: Simplify right side
    598.04x = 496,553.83
  5. Step 5: Solve for x
    x = 496,553.83/598.04
  6. Step 6: Final answer
    x = 830.31

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.