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Finding the Fourth Proportional to 1,009.14, 1,514.28 and 461.32

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Solution

The fourth proportional to 1,009.14, 1,514.28 and 461.32 is: 692.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,009.14 : 1,514.28 = 461.32 : x
  2. Step 2: Convert to fraction form
    1,009.14/1,514.28 = 461.32/x
  3. Step 3: Cross multiply
    1,009.14x = 1,514.28 × 461.32
  4. Step 4: Simplify right side
    1,009.14x = 698,569.93
  5. Step 5: Solve for x
    x = 698,569.93/1,009.14
  6. Step 6: Final answer
    x = 692.24

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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.