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Finding the Fourth Proportional to 1,009.10, 1,512.59 and 461.64

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Solution

The fourth proportional to 1,009.10, 1,512.59 and 461.64 is: 691.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,009.10 : 1,512.59 = 461.64 : x
  2. Step 2: Convert to fraction form
    1,009.10/1,512.59 = 461.64/x
  3. Step 3: Cross multiply
    1,009.10x = 1,512.59 × 461.64
  4. Step 4: Simplify right side
    1,009.10x = 698,275.41
  5. Step 5: Solve for x
    x = 698,275.41/1,009.10
  6. Step 6: Final answer
    x = 691.98

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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.