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Finding the Fourth Proportional to 784.36, 1,176.54 and 271.24

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Solution

The fourth proportional to 784.36, 1,176.54 and 271.24 is: 406.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    784.36 : 1,176.54 = 271.24 : x
  2. Step 2: Convert to fraction form
    784.36/1,176.54 = 271.24/x
  3. Step 3: Cross multiply
    784.36x = 1,176.54 × 271.24
  4. Step 4: Simplify right side
    784.36x = 319,124.71
  5. Step 5: Solve for x
    x = 319,124.71/784.36
  6. Step 6: Final answer
    x = 406.86

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.