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Finding the Fourth Proportional to 598.93, 894.37 and 564.76

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Solution

The fourth proportional to 598.93, 894.37 and 564.76 is: 843.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    598.93 : 894.37 = 564.76 : x
  2. Step 2: Convert to fraction form
    598.93/894.37 = 564.76/x
  3. Step 3: Cross multiply
    598.93x = 894.37 × 564.76
  4. Step 4: Simplify right side
    598.93x = 505,104.40
  5. Step 5: Solve for x
    x = 505,104.40/598.93
  6. Step 6: Final answer
    x = 843.34

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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.