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Finding the Fourth Proportional to 925.02, 1,277.07 and 677.64

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Solution

The fourth proportional to 925.02, 1,277.07 and 677.64 is: 935.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    925.02 : 1,277.07 = 677.64 : x
  2. Step 2: Convert to fraction form
    925.02/1,277.07 = 677.64/x
  3. Step 3: Cross multiply
    925.02x = 1,277.07 × 677.64
  4. Step 4: Simplify right side
    925.02x = 865,393.71
  5. Step 5: Solve for x
    x = 865,393.71/925.02
  6. Step 6: Final answer
    x = 935.54

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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.