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Finding the Fourth Proportional to 1,731.65, 2,597.13 and 499.01

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Solution

The fourth proportional to 1,731.65, 2,597.13 and 499.01 is: 748.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,731.65 : 2,597.13 = 499.01 : x
  2. Step 2: Convert to fraction form
    1,731.65/2,597.13 = 499.01/x
  3. Step 3: Cross multiply
    1,731.65x = 2,597.13 × 499.01
  4. Step 4: Simplify right side
    1,731.65x = 1,295,980.86
  5. Step 5: Solve for x
    x = 1,295,980.86/1,731.65
  6. Step 6: Final answer
    x = 748.41

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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.