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Finding the Fourth Proportional to 883.01, 1,321.77 and 652.16

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Solution

The fourth proportional to 883.01, 1,321.77 and 652.16 is: 976.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    883.01 : 1,321.77 = 652.16 : x
  2. Step 2: Convert to fraction form
    883.01/1,321.77 = 652.16/x
  3. Step 3: Cross multiply
    883.01x = 1,321.77 × 652.16
  4. Step 4: Simplify right side
    883.01x = 861,995.65
  5. Step 5: Solve for x
    x = 861,995.65/883.01
  6. Step 6: Final answer
    x = 976.21

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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.