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Finding the Fourth Proportional to 883.20, 1,320.84 and 786.28

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Solution

The fourth proportional to 883.20, 1,320.84 and 786.28 is: 1,175.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    883.20 : 1,320.84 = 786.28 : x
  2. Step 2: Convert to fraction form
    883.20/1,320.84 = 786.28/x
  3. Step 3: Cross multiply
    883.20x = 1,320.84 × 786.28
  4. Step 4: Simplify right side
    883.20x = 1,038,550.08
  5. Step 5: Solve for x
    x = 1,038,550.08/883.20
  6. Step 6: Final answer
    x = 1,175.89

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.