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Finding the Fourth Proportional to 860.22, 1,186.47 and 510.84

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Solution

The fourth proportional to 860.22, 1,186.47 and 510.84 is: 704.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    860.22 : 1,186.47 = 510.84 : x
  2. Step 2: Convert to fraction form
    860.22/1,186.47 = 510.84/x
  3. Step 3: Cross multiply
    860.22x = 1,186.47 × 510.84
  4. Step 4: Simplify right side
    860.22x = 606,096.33
  5. Step 5: Solve for x
    x = 606,096.33/860.22
  6. Step 6: Final answer
    x = 704.58

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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.