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Finding the Fourth Proportional to 680.13, 932.45 and 661.77

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Solution

The fourth proportional to 680.13, 932.45 and 661.77 is: 907.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    680.13 : 932.45 = 661.77 : x
  2. Step 2: Convert to fraction form
    680.13/932.45 = 661.77/x
  3. Step 3: Cross multiply
    680.13x = 932.45 × 661.77
  4. Step 4: Simplify right side
    680.13x = 617,064.13
  5. Step 5: Solve for x
    x = 617,064.13/680.13
  6. Step 6: Final answer
    x = 907.27

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