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Finding the Fourth Proportional to 773.15, 1,159.95 and 465.37

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Solution

The fourth proportional to 773.15, 1,159.95 and 465.37 is: 698.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    773.15 : 1,159.95 = 465.37 : x
  2. Step 2: Convert to fraction form
    773.15/1,159.95 = 465.37/x
  3. Step 3: Cross multiply
    773.15x = 1,159.95 × 465.37
  4. Step 4: Simplify right side
    773.15x = 539,804.11
  5. Step 5: Solve for x
    x = 539,804.11/773.15
  6. Step 6: Final answer
    x = 698.19

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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.