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Finding the Fourth Proportional to 740.47, 1,021.82 and 408.89

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Solution

The fourth proportional to 740.47, 1,021.82 and 408.89 is: 564.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    740.47 : 1,021.82 = 408.89 : x
  2. Step 2: Convert to fraction form
    740.47/1,021.82 = 408.89/x
  3. Step 3: Cross multiply
    740.47x = 1,021.82 × 408.89
  4. Step 4: Simplify right side
    740.47x = 417,811.98
  5. Step 5: Solve for x
    x = 417,811.98/740.47
  6. Step 6: Final answer
    x = 564.25

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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.