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Finding the Fourth Proportional to 784.81, 1,175.06 and 475.90

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Solution

The fourth proportional to 784.81, 1,175.06 and 475.90 is: 712.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    784.81 : 1,175.06 = 475.90 : x
  2. Step 2: Convert to fraction form
    784.81/1,175.06 = 475.90/x
  3. Step 3: Cross multiply
    784.81x = 1,175.06 × 475.90
  4. Step 4: Simplify right side
    784.81x = 559,209.93
  5. Step 5: Solve for x
    x = 559,209.93/784.81
  6. Step 6: Final answer
    x = 712.54

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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.