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Finding the Fourth Proportional to 1,599.40, 2,399.26 and 573.16

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Solution

The fourth proportional to 1,599.40, 2,399.26 and 573.16 is: 859.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,599.40 : 2,399.26 = 573.16 : x
  2. Step 2: Convert to fraction form
    1,599.40/2,399.26 = 573.16/x
  3. Step 3: Cross multiply
    1,599.40x = 2,399.26 × 573.16
  4. Step 4: Simplify right side
    1,599.40x = 1,375,159.86
  5. Step 5: Solve for x
    x = 1,375,159.86/1,599.40
  6. Step 6: Final answer
    x = 859.80

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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.