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Finding the Fourth Proportional to 1,103.04, 1,654.73 and 410.69

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Solution

The fourth proportional to 1,103.04, 1,654.73 and 410.69 is: 616.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,103.04 : 1,654.73 = 410.69 : x
  2. Step 2: Convert to fraction form
    1,103.04/1,654.73 = 410.69/x
  3. Step 3: Cross multiply
    1,103.04x = 1,654.73 × 410.69
  4. Step 4: Simplify right side
    1,103.04x = 679,570.74
  5. Step 5: Solve for x
    x = 679,570.74/1,103.04
  6. Step 6: Final answer
    x = 616.09

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