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Finding the Fourth Proportional to 860.02, 1,186.41 and 510.46

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Solution

The fourth proportional to 860.02, 1,186.41 and 510.46 is: 704.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    860.02 : 1,186.41 = 510.46 : x
  2. Step 2: Convert to fraction form
    860.02/1,186.41 = 510.46/x
  3. Step 3: Cross multiply
    860.02x = 1,186.41 × 510.46
  4. Step 4: Simplify right side
    860.02x = 605,614.85
  5. Step 5: Solve for x
    x = 605,614.85/860.02
  6. Step 6: Final answer
    x = 704.19

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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.