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Finding the Fourth Proportional to 1,008.63, 1,512.99 and 461.07

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Solution

The fourth proportional to 1,008.63, 1,512.99 and 461.07 is: 691.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,008.63 : 1,512.99 = 461.07 : x
  2. Step 2: Convert to fraction form
    1,008.63/1,512.99 = 461.07/x
  3. Step 3: Cross multiply
    1,008.63x = 1,512.99 × 461.07
  4. Step 4: Simplify right side
    1,008.63x = 697,594.30
  5. Step 5: Solve for x
    x = 697,594.30/1,008.63
  6. Step 6: Final answer
    x = 691.63

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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.