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Finding the Fourth Proportional to 883.29, 1,218.92 and 510.27

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Solution

The fourth proportional to 883.29, 1,218.92 and 510.27 is: 704.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    883.29 : 1,218.92 = 510.27 : x
  2. Step 2: Convert to fraction form
    883.29/1,218.92 = 510.27/x
  3. Step 3: Cross multiply
    883.29x = 1,218.92 × 510.27
  4. Step 4: Simplify right side
    883.29x = 621,978.31
  5. Step 5: Solve for x
    x = 621,978.31/883.29
  6. Step 6: Final answer
    x = 704.16

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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.