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Finding the Fourth Proportional to 1,613.09, 2,419.64 and 639.65

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Solution

The fourth proportional to 1,613.09, 2,419.64 and 639.65 is: 959.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,613.09 : 2,419.64 = 639.65 : x
  2. Step 2: Convert to fraction form
    1,613.09/2,419.64 = 639.65/x
  3. Step 3: Cross multiply
    1,613.09x = 2,419.64 × 639.65
  4. Step 4: Simplify right side
    1,613.09x = 1,547,719.53
  5. Step 5: Solve for x
    x = 1,547,719.53/1,613.09
  6. Step 6: Final answer
    x = 959.48

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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.