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Finding the Fourth Proportional to 599.05, 894.29 and 506.71

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Solution

The fourth proportional to 599.05, 894.29 and 506.71 is: 756.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    599.05 : 894.29 = 506.71 : x
  2. Step 2: Convert to fraction form
    599.05/894.29 = 506.71/x
  3. Step 3: Cross multiply
    599.05x = 894.29 × 506.71
  4. Step 4: Simplify right side
    599.05x = 453,145.69
  5. Step 5: Solve for x
    x = 453,145.69/599.05
  6. Step 6: Final answer
    x = 756.44

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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.