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Finding the Fourth Proportional to 851.41, 1,174.03 and 784.45

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Solution

The fourth proportional to 851.41, 1,174.03 and 784.45 is: 1,081.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    851.41 : 1,174.03 = 784.45 : x
  2. Step 2: Convert to fraction form
    851.41/1,174.03 = 784.45/x
  3. Step 3: Cross multiply
    851.41x = 1,174.03 × 784.45
  4. Step 4: Simplify right side
    851.41x = 920,967.83
  5. Step 5: Solve for x
    x = 920,967.83/851.41
  6. Step 6: Final answer
    x = 1,081.70

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.