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Finding the Fourth Proportional to 1,009.59, 1,514.38 and 461.62

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Solution

The fourth proportional to 1,009.59, 1,514.38 and 461.62 is: 692.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,009.59 : 1,514.38 = 461.62 : x
  2. Step 2: Convert to fraction form
    1,009.59/1,514.38 = 461.62/x
  3. Step 3: Cross multiply
    1,009.59x = 1,514.38 × 461.62
  4. Step 4: Simplify right side
    1,009.59x = 699,068.10
  5. Step 5: Solve for x
    x = 699,068.10/1,009.59
  6. Step 6: Final answer
    x = 692.43

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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.