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Finding the Fourth Proportional to 857.07, 1,182.67 and 525.44

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Solution

The fourth proportional to 857.07, 1,182.67 and 525.44 is: 725.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    857.07 : 1,182.67 = 525.44 : x
  2. Step 2: Convert to fraction form
    857.07/1,182.67 = 525.44/x
  3. Step 3: Cross multiply
    857.07x = 1,182.67 × 525.44
  4. Step 4: Simplify right side
    857.07x = 621,423.77
  5. Step 5: Solve for x
    x = 621,423.77/857.07
  6. Step 6: Final answer
    x = 725.06

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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.