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Finding the Fourth Proportional to 739.90, 1,108.63 and 523.02

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Solution

The fourth proportional to 739.90, 1,108.63 and 523.02 is: 783.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    739.90 : 1,108.63 = 523.02 : x
  2. Step 2: Convert to fraction form
    739.90/1,108.63 = 523.02/x
  3. Step 3: Cross multiply
    739.90x = 1,108.63 × 523.02
  4. Step 4: Simplify right side
    739.90x = 579,835.66
  5. Step 5: Solve for x
    x = 579,835.66/739.90
  6. Step 6: Final answer
    x = 783.67

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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.