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Finding the Fourth Proportional to 919.82, 1,269.24 and 526.82

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Solution

The fourth proportional to 919.82, 1,269.24 and 526.82 is: 726.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    919.82 : 1,269.24 = 526.82 : x
  2. Step 2: Convert to fraction form
    919.82/1,269.24 = 526.82/x
  3. Step 3: Cross multiply
    919.82x = 1,269.24 × 526.82
  4. Step 4: Simplify right side
    919.82x = 668,661.02
  5. Step 5: Solve for x
    x = 668,661.02/919.82
  6. Step 6: Final answer
    x = 726.95

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Why These Related Problems?

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