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Finding the Fourth Proportional to 1,103.29, 1,654.75 and 409.79

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Solution

The fourth proportional to 1,103.29, 1,654.75 and 409.79 is: 614.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,103.29 : 1,654.75 = 409.79 : x
  2. Step 2: Convert to fraction form
    1,103.29/1,654.75 = 409.79/x
  3. Step 3: Cross multiply
    1,103.29x = 1,654.75 × 409.79
  4. Step 4: Simplify right side
    1,103.29x = 678,100.00
  5. Step 5: Solve for x
    x = 678,100.00/1,103.29
  6. Step 6: Final answer
    x = 614.62

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.