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Finding the Fourth Proportional to 740.84, 1,022.31 and 409.20

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Solution

The fourth proportional to 740.84, 1,022.31 and 409.20 is: 564.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    740.84 : 1,022.31 = 409.20 : x
  2. Step 2: Convert to fraction form
    740.84/1,022.31 = 409.20/x
  3. Step 3: Cross multiply
    740.84x = 1,022.31 × 409.20
  4. Step 4: Simplify right side
    740.84x = 418,329.25
  5. Step 5: Solve for x
    x = 418,329.25/740.84
  6. Step 6: Final answer
    x = 564.67

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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.