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Finding the Fourth Proportional to 1,098.34, 1,647 and 357.83

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Solution

The fourth proportional to 1,098.34, 1,647 and 357.83 is: 536.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,098.34 : 1,647 = 357.83 : x
  2. Step 2: Convert to fraction form
    1,098.34/1,647 = 357.83/x
  3. Step 3: Cross multiply
    1,098.34x = 1,647 × 357.83
  4. Step 4: Simplify right side
    1,098.34x = 589,343.95
  5. Step 5: Solve for x
    x = 589,343.95/1,098.34
  6. Step 6: Final answer
    x = 536.58

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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.