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Finding the Fourth Proportional to 771.22, 1,156.14 and 497.38

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Solution

The fourth proportional to 771.22, 1,156.14 and 497.38 is: 745.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    771.22 : 1,156.14 = 497.38 : x
  2. Step 2: Convert to fraction form
    771.22/1,156.14 = 497.38/x
  3. Step 3: Cross multiply
    771.22x = 1,156.14 × 497.38
  4. Step 4: Simplify right side
    771.22x = 575,040.91
  5. Step 5: Solve for x
    x = 575,040.91/771.22
  6. Step 6: Final answer
    x = 745.63

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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.