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Finding the Fourth Proportional to 1,613.70, 2,419.83 and 459.18

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Solution

The fourth proportional to 1,613.70, 2,419.83 and 459.18 is: 688.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,613.70 : 2,419.83 = 459.18 : x
  2. Step 2: Convert to fraction form
    1,613.70/2,419.83 = 459.18/x
  3. Step 3: Cross multiply
    1,613.70x = 2,419.83 × 459.18
  4. Step 4: Simplify right side
    1,613.70x = 1,111,137.54
  5. Step 5: Solve for x
    x = 1,111,137.54/1,613.70
  6. Step 6: Final answer
    x = 688.57

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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.