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Finding the Fourth Proportional to 1,098.40, 1,647.06 and 405.04

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Solution

The fourth proportional to 1,098.40, 1,647.06 and 405.04 is: 607.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,098.40 : 1,647.06 = 405.04 : x
  2. Step 2: Convert to fraction form
    1,098.40/1,647.06 = 405.04/x
  3. Step 3: Cross multiply
    1,098.40x = 1,647.06 × 405.04
  4. Step 4: Simplify right side
    1,098.40x = 667,125.18
  5. Step 5: Solve for x
    x = 667,125.18/1,098.40
  6. Step 6: Final answer
    x = 607.36

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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.