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Finding the Fourth Proportional to 712.55, 1,069.00 and 279.72

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Solution

The fourth proportional to 712.55, 1,069.00 and 279.72 is: 419.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    712.55 : 1,069.00 = 279.72 : x
  2. Step 2: Convert to fraction form
    712.55/1,069.00 = 279.72/x
  3. Step 3: Cross multiply
    712.55x = 1,069.00 × 279.72
  4. Step 4: Simplify right side
    712.55x = 299,019.98
  5. Step 5: Solve for x
    x = 299,019.98/712.55
  6. Step 6: Final answer
    x = 419.65

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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.