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Finding the Fourth Proportional to 1,614.58, 2,421.96 and 460.42

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Solution

The fourth proportional to 1,614.58, 2,421.96 and 460.42 is: 690.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,614.58 : 2,421.96 = 460.42 : x
  2. Step 2: Convert to fraction form
    1,614.58/2,421.96 = 460.42/x
  3. Step 3: Cross multiply
    1,614.58x = 2,421.96 × 460.42
  4. Step 4: Simplify right side
    1,614.58x = 1,115,118.82
  5. Step 5: Solve for x
    x = 1,115,118.82/1,614.58
  6. Step 6: Final answer
    x = 690.66

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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.