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Finding the Fourth Proportional to 740.98, 1,022.61 and 409.45

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Solution

The fourth proportional to 740.98, 1,022.61 and 409.45 is: 565.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    740.98 : 1,022.61 = 409.45 : x
  2. Step 2: Convert to fraction form
    740.98/1,022.61 = 409.45/x
  3. Step 3: Cross multiply
    740.98x = 1,022.61 × 409.45
  4. Step 4: Simplify right side
    740.98x = 418,707.66
  5. Step 5: Solve for x
    x = 418,707.66/740.98
  6. Step 6: Final answer
    x = 565.07

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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.