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Finding the Fourth Proportional to 594.77, 896.11 and 537.05

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Solution

The fourth proportional to 594.77, 896.11 and 537.05 is: 809.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    594.77 : 896.11 = 537.05 : x
  2. Step 2: Convert to fraction form
    594.77/896.11 = 537.05/x
  3. Step 3: Cross multiply
    594.77x = 896.11 × 537.05
  4. Step 4: Simplify right side
    594.77x = 481,256.77
  5. Step 5: Solve for x
    x = 481,256.77/594.77
  6. Step 6: Final answer
    x = 809.15

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.