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Finding the Fourth Proportional to 728.19, 1,094.33 and 435.74

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Solution

The fourth proportional to 728.19, 1,094.33 and 435.74 is: 654.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    728.19 : 1,094.33 = 435.74 : x
  2. Step 2: Convert to fraction form
    728.19/1,094.33 = 435.74/x
  3. Step 3: Cross multiply
    728.19x = 1,094.33 × 435.74
  4. Step 4: Simplify right side
    728.19x = 476,835.70
  5. Step 5: Solve for x
    x = 476,835.70/728.19
  6. Step 6: Final answer
    x = 654.82

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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.