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Finding the Fourth Proportional to 857.50, 1,182.69 and 525.65

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Solution

The fourth proportional to 857.50, 1,182.69 and 525.65 is: 724.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    857.50 : 1,182.69 = 525.65 : x
  2. Step 2: Convert to fraction form
    857.50/1,182.69 = 525.65/x
  3. Step 3: Cross multiply
    857.50x = 1,182.69 × 525.65
  4. Step 4: Simplify right side
    857.50x = 621,675.09
  5. Step 5: Solve for x
    x = 621,675.09/857.50
  6. Step 6: Final answer
    x = 724.99

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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.