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Finding the Fourth Proportional to 1,009.21, 1,512.65 and 461.45

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Solution

The fourth proportional to 1,009.21, 1,512.65 and 461.45 is: 691.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,009.21 : 1,512.65 = 461.45 : x
  2. Step 2: Convert to fraction form
    1,009.21/1,512.65 = 461.45/x
  3. Step 3: Cross multiply
    1,009.21x = 1,512.65 × 461.45
  4. Step 4: Simplify right side
    1,009.21x = 698,002.47
  5. Step 5: Solve for x
    x = 698,002.47/1,009.21
  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.