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Finding the Fourth Proportional to 859.68, 1,186.40 and 510.40

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Solution

The fourth proportional to 859.68, 1,186.40 and 510.40 is: 704.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    859.68 : 1,186.40 = 510.40 : x
  2. Step 2: Convert to fraction form
    859.68/1,186.40 = 510.40/x
  3. Step 3: Cross multiply
    859.68x = 1,186.40 × 510.40
  4. Step 4: Simplify right side
    859.68x = 605,538.56
  5. Step 5: Solve for x
    x = 605,538.56/859.68
  6. Step 6: Final answer
    x = 704.38

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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.