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Finding the Fourth Proportional to 1,613, 2,419.53 and 458.78

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Solution

The fourth proportional to 1,613, 2,419.53 and 458.78 is: 688.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,613 : 2,419.53 = 458.78 : x
  2. Step 2: Convert to fraction form
    1,613/2,419.53 = 458.78/x
  3. Step 3: Cross multiply
    1,613x = 2,419.53 × 458.78
  4. Step 4: Simplify right side
    1,613x = 1,110,031.97
  5. Step 5: Solve for x
    x = 1,110,031.97/1,613
  6. Step 6: Final answer
    x = 688.18

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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.