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Finding the Fourth Proportional to 739.95, 1,110.22 and 465.99

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Solution

The fourth proportional to 739.95, 1,110.22 and 465.99 is: 699.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    739.95 : 1,110.22 = 465.99 : x
  2. Step 2: Convert to fraction form
    739.95/1,110.22 = 465.99/x
  3. Step 3: Cross multiply
    739.95x = 1,110.22 × 465.99
  4. Step 4: Simplify right side
    739.95x = 517,350.25
  5. Step 5: Solve for x
    x = 517,350.25/739.95
  6. Step 6: Final answer
    x = 699.17

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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.