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Finding the Fourth Proportional to 1,002.68, 1,507.13 and 729.99

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Solution

The fourth proportional to 1,002.68, 1,507.13 and 729.99 is: 1,097.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,002.68 : 1,507.13 = 729.99 : x
  2. Step 2: Convert to fraction form
    1,002.68/1,507.13 = 729.99/x
  3. Step 3: Cross multiply
    1,002.68x = 1,507.13 × 729.99
  4. Step 4: Simplify right side
    1,002.68x = 1,100,186.73
  5. Step 5: Solve for x
    x = 1,100,186.73/1,002.68
  6. Step 6: Final answer
    x = 1,097.25

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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.