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Finding the Fourth Proportional to 1,009.81, 1,514.72 and 461.98

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Solution

The fourth proportional to 1,009.81, 1,514.72 and 461.98 is: 692.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,009.81 : 1,514.72 = 461.98 : x
  2. Step 2: Convert to fraction form
    1,009.81/1,514.72 = 461.98/x
  3. Step 3: Cross multiply
    1,009.81x = 1,514.72 × 461.98
  4. Step 4: Simplify right side
    1,009.81x = 699,768.04
  5. Step 5: Solve for x
    x = 699,768.04/1,009.81
  6. Step 6: Final answer
    x = 692.97

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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.