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Finding the Fourth Proportional to 737.20, 1,018.80 and 589.60

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Solution

The fourth proportional to 737.20, 1,018.80 and 589.60 is: 814.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    737.20 : 1,018.80 = 589.60 : x
  2. Step 2: Convert to fraction form
    737.20/1,018.80 = 589.60/x
  3. Step 3: Cross multiply
    737.20x = 1,018.80 × 589.60
  4. Step 4: Simplify right side
    737.20x = 600,684.48
  5. Step 5: Solve for x
    x = 600,684.48/737.20
  6. Step 6: Final answer
    x = 814.82

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Why These Related Problems?

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