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Finding the Fourth Proportional to 681.90, 934.65 and 657.27

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Solution

The fourth proportional to 681.90, 934.65 and 657.27 is: 900.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    681.90 : 934.65 = 657.27 : x
  2. Step 2: Convert to fraction form
    681.90/934.65 = 657.27/x
  3. Step 3: Cross multiply
    681.90x = 934.65 × 657.27
  4. Step 4: Simplify right side
    681.90x = 614,317.41
  5. Step 5: Solve for x
    x = 614,317.41/681.90
  6. Step 6: Final answer
    x = 900.89

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.