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Finding the Fourth Proportional to 691.80, 954.26 and 505.07

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Solution

The fourth proportional to 691.80, 954.26 and 505.07 is: 696.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    691.80 : 954.26 = 505.07 : x
  2. Step 2: Convert to fraction form
    691.80/954.26 = 505.07/x
  3. Step 3: Cross multiply
    691.80x = 954.26 × 505.07
  4. Step 4: Simplify right side
    691.80x = 481,963.33
  5. Step 5: Solve for x
    x = 481,963.33/691.80
  6. Step 6: Final answer
    x = 696.68

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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.