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Finding the Fourth Proportional to 740.61, 1,022.00 and 409.03

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Solution

The fourth proportional to 740.61, 1,022.00 and 409.03 is: 564.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    740.61 : 1,022.00 = 409.03 : x
  2. Step 2: Convert to fraction form
    740.61/1,022.00 = 409.03/x
  3. Step 3: Cross multiply
    740.61x = 1,022.00 × 409.03
  4. Step 4: Simplify right side
    740.61x = 418,024.06
  5. Step 5: Solve for x
    x = 418,024.06/740.61
  6. Step 6: Final answer
    x = 564.43

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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.