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Finding the Fourth Proportional to 919.71, 1,269.17 and 526.77

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Solution

The fourth proportional to 919.71, 1,269.17 and 526.77 is: 726.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    919.71 : 1,269.17 = 526.77 : x
  2. Step 2: Convert to fraction form
    919.71/1,269.17 = 526.77/x
  3. Step 3: Cross multiply
    919.71x = 1,269.17 × 526.77
  4. Step 4: Simplify right side
    919.71x = 668,558.05
  5. Step 5: Solve for x
    x = 668,558.05/919.71
  6. Step 6: Final answer
    x = 726.92

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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.