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Finding the Fourth Proportional to 903.18, 1,354.77 and 739.15

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Solution

The fourth proportional to 903.18, 1,354.77 and 739.15 is: 1,108.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    903.18 : 1,354.77 = 739.15 : x
  2. Step 2: Convert to fraction form
    903.18/1,354.77 = 739.15/x
  3. Step 3: Cross multiply
    903.18x = 1,354.77 × 739.15
  4. Step 4: Simplify right side
    903.18x = 1,001,378.25
  5. Step 5: Solve for x
    x = 1,001,378.25/903.18
  6. Step 6: Final answer
    x = 1,108.73

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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.