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Finding the Fourth Proportional to 1,009.09, 1,513.80 and 461.32

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Solution

The fourth proportional to 1,009.09, 1,513.80 and 461.32 is: 692.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,009.09 : 1,513.80 = 461.32 : x
  2. Step 2: Convert to fraction form
    1,009.09/1,513.80 = 461.32/x
  3. Step 3: Cross multiply
    1,009.09x = 1,513.80 × 461.32
  4. Step 4: Simplify right side
    1,009.09x = 698,346.22
  5. Step 5: Solve for x
    x = 698,346.22/1,009.09
  6. Step 6: Final answer
    x = 692.06

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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.