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Finding the Fourth Proportional to 771.45, 1,156.77 and 497.27

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Solution

The fourth proportional to 771.45, 1,156.77 and 497.27 is: 745.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    771.45 : 1,156.77 = 497.27 : x
  2. Step 2: Convert to fraction form
    771.45/1,156.77 = 497.27/x
  3. Step 3: Cross multiply
    771.45x = 1,156.77 × 497.27
  4. Step 4: Simplify right side
    771.45x = 575,221.23
  5. Step 5: Solve for x
    x = 575,221.23/771.45
  6. Step 6: Final answer
    x = 745.64

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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.