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Finding the Fourth Proportional to 1,731.68, 2,597.13 and 498.81

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Solution

The fourth proportional to 1,731.68, 2,597.13 and 498.81 is: 748.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,731.68 : 2,597.13 = 498.81 : x
  2. Step 2: Convert to fraction form
    1,731.68/2,597.13 = 498.81/x
  3. Step 3: Cross multiply
    1,731.68x = 2,597.13 × 498.81
  4. Step 4: Simplify right side
    1,731.68x = 1,295,474.42
  5. Step 5: Solve for x
    x = 1,295,474.42/1,731.68
  6. Step 6: Final answer
    x = 748.10

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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.