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Finding the Fourth Proportional to 727.03, 1,090.01 and 467.32

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Solution

The fourth proportional to 727.03, 1,090.01 and 467.32 is: 700.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    727.03 : 1,090.01 = 467.32 : x
  2. Step 2: Convert to fraction form
    727.03/1,090.01 = 467.32/x
  3. Step 3: Cross multiply
    727.03x = 1,090.01 × 467.32
  4. Step 4: Simplify right side
    727.03x = 509,381.33
  5. Step 5: Solve for x
    x = 509,381.33/727.03
  6. Step 6: Final answer
    x = 700.64

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.