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Finding the Fourth Proportional to 595.28, 893.12 and 537.77

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Solution

The fourth proportional to 595.28, 893.12 and 537.77 is: 806.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    595.28 : 893.12 = 537.77 : x
  2. Step 2: Convert to fraction form
    595.28/893.12 = 537.77/x
  3. Step 3: Cross multiply
    595.28x = 893.12 × 537.77
  4. Step 4: Simplify right side
    595.28x = 480,285.99
  5. Step 5: Solve for x
    x = 480,285.99/595.28
  6. Step 6: Final answer
    x = 806.83

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.