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Finding the Fourth Proportional to 1,098.68, 1,648.13 and 405.37

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Solution

The fourth proportional to 1,098.68, 1,648.13 and 405.37 is: 608.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,098.68 : 1,648.13 = 405.37 : x
  2. Step 2: Convert to fraction form
    1,098.68/1,648.13 = 405.37/x
  3. Step 3: Cross multiply
    1,098.68x = 1,648.13 × 405.37
  4. Step 4: Simplify right side
    1,098.68x = 668,107.39
  5. Step 5: Solve for x
    x = 668,107.39/1,098.68
  6. Step 6: Final answer
    x = 608.10

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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.