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Finding the Fourth Proportional to 1,733.21, 2,599.50 and 500.31

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Solution

The fourth proportional to 1,733.21, 2,599.50 and 500.31 is: 750.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,733.21 : 2,599.50 = 500.31 : x
  2. Step 2: Convert to fraction form
    1,733.21/2,599.50 = 500.31/x
  3. Step 3: Cross multiply
    1,733.21x = 2,599.50 × 500.31
  4. Step 4: Simplify right side
    1,733.21x = 1,300,555.85
  5. Step 5: Solve for x
    x = 1,300,555.85/1,733.21
  6. Step 6: Final answer
    x = 750.37

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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.