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Finding the Fourth Proportional to 740.09, 1,021.28 and 408.47

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Solution

The fourth proportional to 740.09, 1,021.28 and 408.47 is: 563.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    740.09 : 1,021.28 = 408.47 : x
  2. Step 2: Convert to fraction form
    740.09/1,021.28 = 408.47/x
  3. Step 3: Cross multiply
    740.09x = 1,021.28 × 408.47
  4. Step 4: Simplify right side
    740.09x = 417,155.09
  5. Step 5: Solve for x
    x = 417,155.09/740.09
  6. Step 6: Final answer
    x = 563.65

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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.