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Finding the Fourth Proportional to 739.53, 1,019.75 and 529.63

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Solution

The fourth proportional to 739.53, 1,019.75 and 529.63 is: 730.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    739.53 : 1,019.75 = 529.63 : x
  2. Step 2: Convert to fraction form
    739.53/1,019.75 = 529.63/x
  3. Step 3: Cross multiply
    739.53x = 1,019.75 × 529.63
  4. Step 4: Simplify right side
    739.53x = 540,084.99
  5. Step 5: Solve for x
    x = 540,084.99/739.53
  6. Step 6: Final answer
    x = 730.31

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.