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Finding the Fourth Proportional to 859.24, 1,186.32 and 510.04

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Solution

The fourth proportional to 859.24, 1,186.32 and 510.04 is: 704.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    859.24 : 1,186.32 = 510.04 : x
  2. Step 2: Convert to fraction form
    859.24/1,186.32 = 510.04/x
  3. Step 3: Cross multiply
    859.24x = 1,186.32 × 510.04
  4. Step 4: Simplify right side
    859.24x = 605,070.65
  5. Step 5: Solve for x
    x = 605,070.65/859.24
  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.