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Finding the Fourth Proportional to 919.79, 1,269.28 and 526.80

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Solution

The fourth proportional to 919.79, 1,269.28 and 526.80 is: 726.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    919.79 : 1,269.28 = 526.80 : x
  2. Step 2: Convert to fraction form
    919.79/1,269.28 = 526.80/x
  3. Step 3: Cross multiply
    919.79x = 1,269.28 × 526.80
  4. Step 4: Simplify right side
    919.79x = 668,656.70
  5. Step 5: Solve for x
    x = 668,656.70/919.79
  6. Step 6: Final answer
    x = 726.97

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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.