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Finding the Fourth Proportional to 738.95, 1,109.04 and 523.90

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Solution

The fourth proportional to 738.95, 1,109.04 and 523.90 is: 786.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    738.95 : 1,109.04 = 523.90 : x
  2. Step 2: Convert to fraction form
    738.95/1,109.04 = 523.90/x
  3. Step 3: Cross multiply
    738.95x = 1,109.04 × 523.90
  4. Step 4: Simplify right side
    738.95x = 581,017.89
  5. Step 5: Solve for x
    x = 581,017.89/738.95
  6. Step 6: Final answer
    x = 786.27

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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.