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Finding the Fourth Proportional to 1,732.21, 2,598.75 and 499.71

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Solution

The fourth proportional to 1,732.21, 2,598.75 and 499.71 is: 749.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,732.21 : 2,598.75 = 499.71 : x
  2. Step 2: Convert to fraction form
    1,732.21/2,598.75 = 499.71/x
  3. Step 3: Cross multiply
    1,732.21x = 2,598.75 × 499.71
  4. Step 4: Simplify right side
    1,732.21x = 1,298,621.36
  5. Step 5: Solve for x
    x = 1,298,621.36/1,732.21
  6. Step 6: Final answer
    x = 749.69

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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.