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Finding the Fourth Proportional to 784.29, 1,175.09 and 540.03

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Solution

The fourth proportional to 784.29, 1,175.09 and 540.03 is: 809.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    784.29 : 1,175.09 = 540.03 : x
  2. Step 2: Convert to fraction form
    784.29/1,175.09 = 540.03/x
  3. Step 3: Cross multiply
    784.29x = 1,175.09 × 540.03
  4. Step 4: Simplify right side
    784.29x = 634,581.15
  5. Step 5: Solve for x
    x = 634,581.15/784.29
  6. Step 6: Final answer
    x = 809.12

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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.