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Finding the Fourth Proportional to 1,754.15, 2,630.61 and 599.63

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Solution

The fourth proportional to 1,754.15, 2,630.61 and 599.63 is: 899.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,754.15 : 2,630.61 = 599.63 : x
  2. Step 2: Convert to fraction form
    1,754.15/2,630.61 = 599.63/x
  3. Step 3: Cross multiply
    1,754.15x = 2,630.61 × 599.63
  4. Step 4: Simplify right side
    1,754.15x = 1,577,379.52
  5. Step 5: Solve for x
    x = 1,577,379.52/1,754.15
  6. Step 6: Final answer
    x = 899.23

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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.