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Finding the Fourth Proportional to 598.77, 893.94 and 506.49

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Solution

The fourth proportional to 598.77, 893.94 and 506.49 is: 756.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    598.77 : 893.94 = 506.49 : x
  2. Step 2: Convert to fraction form
    598.77/893.94 = 506.49/x
  3. Step 3: Cross multiply
    598.77x = 893.94 × 506.49
  4. Step 4: Simplify right side
    598.77x = 452,771.67
  5. Step 5: Solve for x
    x = 452,771.67/598.77
  6. Step 6: Final answer
    x = 756.17

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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.