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Finding the Fourth Proportional to 809.84, 1,116.28 and 652.04

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Solution

The fourth proportional to 809.84, 1,116.28 and 652.04 is: 898.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    809.84 : 1,116.28 = 652.04 : x
  2. Step 2: Convert to fraction form
    809.84/1,116.28 = 652.04/x
  3. Step 3: Cross multiply
    809.84x = 1,116.28 × 652.04
  4. Step 4: Simplify right side
    809.84x = 727,859.21
  5. Step 5: Solve for x
    x = 727,859.21/809.84
  6. Step 6: Final answer
    x = 898.77

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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.