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Finding the Fourth Proportional to 1,009.38, 1,514.06 and 461.72

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Solution

The fourth proportional to 1,009.38, 1,514.06 and 461.72 is: 692.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,009.38 : 1,514.06 = 461.72 : x
  2. Step 2: Convert to fraction form
    1,009.38/1,514.06 = 461.72/x
  3. Step 3: Cross multiply
    1,009.38x = 1,514.06 × 461.72
  4. Step 4: Simplify right side
    1,009.38x = 699,071.78
  5. Step 5: Solve for x
    x = 699,071.78/1,009.38
  6. Step 6: Final answer
    x = 692.58

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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.