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Finding the Fourth Proportional to 859.42, 1,186.08 and 510.16

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Solution

The fourth proportional to 859.42, 1,186.08 and 510.16 is: 704.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    859.42 : 1,186.08 = 510.16 : x
  2. Step 2: Convert to fraction form
    859.42/1,186.08 = 510.16/x
  3. Step 3: Cross multiply
    859.42x = 1,186.08 × 510.16
  4. Step 4: Simplify right side
    859.42x = 605,090.57
  5. Step 5: Solve for x
    x = 605,090.57/859.42
  6. Step 6: Final answer
    x = 704.07

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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.