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Finding the Fourth Proportional to 771.98, 1,155.74 and 498.20

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Solution

The fourth proportional to 771.98, 1,155.74 and 498.20 is: 745.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    771.98 : 1,155.74 = 498.20 : x
  2. Step 2: Convert to fraction form
    771.98/1,155.74 = 498.20/x
  3. Step 3: Cross multiply
    771.98x = 1,155.74 × 498.20
  4. Step 4: Simplify right side
    771.98x = 575,781.40
  5. Step 5: Solve for x
    x = 575,781.40/771.98
  6. Step 6: Final answer
    x = 745.85

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