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Finding the Fourth Proportional to 825.16, 1,139.06 and 510.33

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Solution

The fourth proportional to 825.16, 1,139.06 and 510.33 is: 704.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    825.16 : 1,139.06 = 510.33 : x
  2. Step 2: Convert to fraction form
    825.16/1,139.06 = 510.33/x
  3. Step 3: Cross multiply
    825.16x = 1,139.06 × 510.33
  4. Step 4: Simplify right side
    825.16x = 581,292.43
  5. Step 5: Solve for x
    x = 581,292.43/825.16
  6. Step 6: Final answer
    x = 704.46

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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.