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Finding the Fourth Proportional to 728.18, 1,089.97 and 467.84

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Solution

The fourth proportional to 728.18, 1,089.97 and 467.84 is: 700.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    728.18 : 1,089.97 = 467.84 : x
  2. Step 2: Convert to fraction form
    728.18/1,089.97 = 467.84/x
  3. Step 3: Cross multiply
    728.18x = 1,089.97 × 467.84
  4. Step 4: Simplify right side
    728.18x = 509,931.56
  5. Step 5: Solve for x
    x = 509,931.56/728.18
  6. Step 6: Final answer
    x = 700.28

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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.