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Finding the Fourth Proportional to 789.66, 1,090.16 and 475.00

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Solution

The fourth proportional to 789.66, 1,090.16 and 475.00 is: 655.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    789.66 : 1,090.16 = 475.00 : x
  2. Step 2: Convert to fraction form
    789.66/1,090.16 = 475.00/x
  3. Step 3: Cross multiply
    789.66x = 1,090.16 × 475.00
  4. Step 4: Simplify right side
    789.66x = 517,818.17
  5. Step 5: Solve for x
    x = 517,818.17/789.66
  6. Step 6: Final answer
    x = 655.75

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Why These Related Problems?

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