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Finding the Fourth Proportional to 883.04, 1,320.67 and 786.23

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Solution

The fourth proportional to 883.04, 1,320.67 and 786.23 is: 1,175.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    883.04 : 1,320.67 = 786.23 : x
  2. Step 2: Convert to fraction form
    883.04/1,320.67 = 786.23/x
  3. Step 3: Cross multiply
    883.04x = 1,320.67 × 786.23
  4. Step 4: Simplify right side
    883.04x = 1,038,350.37
  5. Step 5: Solve for x
    x = 1,038,350.37/883.04
  6. Step 6: Final answer
    x = 1,175.88

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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.