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Finding the Fourth Proportional to 1,732.39, 2,598.51 and 499.85

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Solution

The fourth proportional to 1,732.39, 2,598.51 and 499.85 is: 749.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,732.39 : 2,598.51 = 499.85 : x
  2. Step 2: Convert to fraction form
    1,732.39/2,598.51 = 499.85/x
  3. Step 3: Cross multiply
    1,732.39x = 2,598.51 × 499.85
  4. Step 4: Simplify right side
    1,732.39x = 1,298,878.47
  5. Step 5: Solve for x
    x = 1,298,878.47/1,732.39
  6. Step 6: Final answer
    x = 749.76

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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.