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Finding the Fourth Proportional to 919.77, 1,269.32 and 526.83

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Solution

The fourth proportional to 919.77, 1,269.32 and 526.83 is: 727.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    919.77 : 1,269.32 = 526.83 : x
  2. Step 2: Convert to fraction form
    919.77/1,269.32 = 526.83/x
  3. Step 3: Cross multiply
    919.77x = 1,269.32 × 526.83
  4. Step 4: Simplify right side
    919.77x = 668,715.86
  5. Step 5: Solve for x
    x = 668,715.86/919.77
  6. Step 6: Final answer
    x = 727.05

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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.