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Finding the Fourth Proportional to 1,732.23, 2,597.71 and 499.23

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Solution

The fourth proportional to 1,732.23, 2,597.71 and 499.23 is: 748.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,732.23 : 2,597.71 = 499.23 : x
  2. Step 2: Convert to fraction form
    1,732.23/2,597.71 = 499.23/x
  3. Step 3: Cross multiply
    1,732.23x = 2,597.71 × 499.23
  4. Step 4: Simplify right side
    1,732.23x = 1,296,854.76
  5. Step 5: Solve for x
    x = 1,296,854.76/1,732.23
  6. Step 6: Final answer
    x = 748.66

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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.