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Finding the Fourth Proportional to 737.57, 1,017.85 and 406.00

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Solution

The fourth proportional to 737.57, 1,017.85 and 406.00 is: 560.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    737.57 : 1,017.85 = 406.00 : x
  2. Step 2: Convert to fraction form
    737.57/1,017.85 = 406.00/x
  3. Step 3: Cross multiply
    737.57x = 1,017.85 × 406.00
  4. Step 4: Simplify right side
    737.57x = 413,242.39
  5. Step 5: Solve for x
    x = 413,242.39/737.57
  6. Step 6: Final answer
    x = 560.27

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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.