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Finding the Fourth Proportional to 740.02, 1,021.24 and 408.45

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Solution

The fourth proportional to 740.02, 1,021.24 and 408.45 is: 563.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    740.02 : 1,021.24 = 408.45 : x
  2. Step 2: Convert to fraction form
    740.02/1,021.24 = 408.45/x
  3. Step 3: Cross multiply
    740.02x = 1,021.24 × 408.45
  4. Step 4: Simplify right side
    740.02x = 417,118.33
  5. Step 5: Solve for x
    x = 417,118.33/740.02
  6. Step 6: Final answer
    x = 563.66

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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.