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Finding the Fourth Proportional to 985.26, 1,475.99 and 573.55

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Solution

The fourth proportional to 985.26, 1,475.99 and 573.55 is: 859.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    985.26 : 1,475.99 = 573.55 : x
  2. Step 2: Convert to fraction form
    985.26/1,475.99 = 573.55/x
  3. Step 3: Cross multiply
    985.26x = 1,475.99 × 573.55
  4. Step 4: Simplify right side
    985.26x = 846,549.66
  5. Step 5: Solve for x
    x = 846,549.66/985.26
  6. Step 6: Final answer
    x = 859.21

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.