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Finding the Fourth Proportional to 1,732.24, 2,598.74 and 499.66

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Solution

The fourth proportional to 1,732.24, 2,598.74 and 499.66 is: 749.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,732.24 : 2,598.74 = 499.66 : x
  2. Step 2: Convert to fraction form
    1,732.24/2,598.74 = 499.66/x
  3. Step 3: Cross multiply
    1,732.24x = 2,598.74 × 499.66
  4. Step 4: Simplify right side
    1,732.24x = 1,298,486.43
  5. Step 5: Solve for x
    x = 1,298,486.43/1,732.24
  6. Step 6: Final answer
    x = 749.60

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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.