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Finding the Fourth Proportional to 1,614, 2,421.03 and 459.78

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Solution

The fourth proportional to 1,614, 2,421.03 and 459.78 is: 689.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,614 : 2,421.03 = 459.78 : x
  2. Step 2: Convert to fraction form
    1,614/2,421.03 = 459.78/x
  3. Step 3: Cross multiply
    1,614x = 2,421.03 × 459.78
  4. Step 4: Simplify right side
    1,614x = 1,113,141.17
  5. Step 5: Solve for x
    x = 1,113,141.17/1,614
  6. Step 6: Final answer
    x = 689.68

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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.