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Finding the Fourth Proportional to 737.85, 1,017.59 and 590.43

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Solution

The fourth proportional to 737.85, 1,017.59 and 590.43 is: 814.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    737.85 : 1,017.59 = 590.43 : x
  2. Step 2: Convert to fraction form
    737.85/1,017.59 = 590.43/x
  3. Step 3: Cross multiply
    737.85x = 1,017.59 × 590.43
  4. Step 4: Simplify right side
    737.85x = 600,812.71
  5. Step 5: Solve for x
    x = 600,812.71/737.85
  6. Step 6: Final answer
    x = 814.27

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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.