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Finding the Fourth Proportional to 917.28, 1,263.06 and 769.32

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Solution

The fourth proportional to 917.28, 1,263.06 and 769.32 is: 1,059.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    917.28 : 1,263.06 = 769.32 : x
  2. Step 2: Convert to fraction form
    917.28/1,263.06 = 769.32/x
  3. Step 3: Cross multiply
    917.28x = 1,263.06 × 769.32
  4. Step 4: Simplify right side
    917.28x = 971,697.32
  5. Step 5: Solve for x
    x = 971,697.32/917.28
  6. Step 6: Final answer
    x = 1,059.32

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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.