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Finding the Fourth Proportional to 1,098.14, 1,646.84 and 357.56

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Solution

The fourth proportional to 1,098.14, 1,646.84 and 357.56 is: 536.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,098.14 : 1,646.84 = 357.56 : x
  2. Step 2: Convert to fraction form
    1,098.14/1,646.84 = 357.56/x
  3. Step 3: Cross multiply
    1,098.14x = 1,646.84 × 357.56
  4. Step 4: Simplify right side
    1,098.14x = 588,844.11
  5. Step 5: Solve for x
    x = 588,844.11/1,098.14
  6. Step 6: Final answer
    x = 536.22

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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.