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Finding the Fourth Proportional to 740.50, 1,021.91 and 408.94

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Solution

The fourth proportional to 740.50, 1,021.91 and 408.94 is: 564.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    740.50 : 1,021.91 = 408.94 : x
  2. Step 2: Convert to fraction form
    740.50/1,021.91 = 408.94/x
  3. Step 3: Cross multiply
    740.50x = 1,021.91 × 408.94
  4. Step 4: Simplify right side
    740.50x = 417,899.88
  5. Step 5: Solve for x
    x = 417,899.88/740.50
  6. Step 6: Final answer
    x = 564.35

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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.