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Finding the Fourth Proportional to 1,615.12, 2,422.88 and 460.88

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Solution

The fourth proportional to 1,615.12, 2,422.88 and 460.88 is: 691.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,615.12 : 2,422.88 = 460.88 : x
  2. Step 2: Convert to fraction form
    1,615.12/2,422.88 = 460.88/x
  3. Step 3: Cross multiply
    1,615.12x = 2,422.88 × 460.88
  4. Step 4: Simplify right side
    1,615.12x = 1,116,656.93
  5. Step 5: Solve for x
    x = 1,116,656.93/1,615.12
  6. Step 6: Final answer
    x = 691.38

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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.