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Finding the Fourth Proportional to 891.64, 1,228.86 and 714.04

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Solution

The fourth proportional to 891.64, 1,228.86 and 714.04 is: 984.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    891.64 : 1,228.86 = 714.04 : x
  2. Step 2: Convert to fraction form
    891.64/1,228.86 = 714.04/x
  3. Step 3: Cross multiply
    891.64x = 1,228.86 × 714.04
  4. Step 4: Simplify right side
    891.64x = 877,455.19
  5. Step 5: Solve for x
    x = 877,455.19/891.64
  6. Step 6: Final answer
    x = 984.09

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.