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Finding the Fourth Proportional to 1,614.54, 2,421.76 and 460.28

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Solution

The fourth proportional to 1,614.54, 2,421.76 and 460.28 is: 690.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,614.54 : 2,421.76 = 460.28 : x
  2. Step 2: Convert to fraction form
    1,614.54/2,421.76 = 460.28/x
  3. Step 3: Cross multiply
    1,614.54x = 2,421.76 × 460.28
  4. Step 4: Simplify right side
    1,614.54x = 1,114,687.69
  5. Step 5: Solve for x
    x = 1,114,687.69/1,614.54
  6. Step 6: Final answer
    x = 690.41

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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.