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Finding the Fourth Proportional to 739.25, 1,108.88 and 277.13

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Solution

The fourth proportional to 739.25, 1,108.88 and 277.13 is: 415.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    739.25 : 1,108.88 = 277.13 : x
  2. Step 2: Convert to fraction form
    739.25/1,108.88 = 277.13/x
  3. Step 3: Cross multiply
    739.25x = 1,108.88 × 277.13
  4. Step 4: Simplify right side
    739.25x = 307,307.51
  5. Step 5: Solve for x
    x = 307,307.51/739.25
  6. Step 6: Final answer
    x = 415.70

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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.