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Finding the Fourth Proportional to 712.90, 1,069.16 and 302.04

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Solution

The fourth proportional to 712.90, 1,069.16 and 302.04 is: 452.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    712.90 : 1,069.16 = 302.04 : x
  2. Step 2: Convert to fraction form
    712.90/1,069.16 = 302.04/x
  3. Step 3: Cross multiply
    712.90x = 1,069.16 × 302.04
  4. Step 4: Simplify right side
    712.90x = 322,929.09
  5. Step 5: Solve for x
    x = 322,929.09/712.90
  6. Step 6: Final answer
    x = 452.98

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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.