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Finding the Fourth Proportional to 740.84, 1,022.30 and 409.26

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Solution

The fourth proportional to 740.84, 1,022.30 and 409.26 is: 564.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    740.84 : 1,022.30 = 409.26 : x
  2. Step 2: Convert to fraction form
    740.84/1,022.30 = 409.26/x
  3. Step 3: Cross multiply
    740.84x = 1,022.30 × 409.26
  4. Step 4: Simplify right side
    740.84x = 418,386.50
  5. Step 5: Solve for x
    x = 418,386.50/740.84
  6. Step 6: Final answer
    x = 564.75

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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.