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Finding the Fourth Proportional to 728.97, 1,090.75 and 436.63

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Solution

The fourth proportional to 728.97, 1,090.75 and 436.63 is: 653.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    728.97 : 1,090.75 = 436.63 : x
  2. Step 2: Convert to fraction form
    728.97/1,090.75 = 436.63/x
  3. Step 3: Cross multiply
    728.97x = 1,090.75 × 436.63
  4. Step 4: Simplify right side
    728.97x = 476,254.17
  5. Step 5: Solve for x
    x = 476,254.17/728.97
  6. Step 6: Final answer
    x = 653.32

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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.