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Finding the Fourth Proportional to 925.63, 1,277.10 and 571.60

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Solution

The fourth proportional to 925.63, 1,277.10 and 571.60 is: 788.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    925.63 : 1,277.10 = 571.60 : x
  2. Step 2: Convert to fraction form
    925.63/1,277.10 = 571.60/x
  3. Step 3: Cross multiply
    925.63x = 1,277.10 × 571.60
  4. Step 4: Simplify right side
    925.63x = 729,990.36
  5. Step 5: Solve for x
    x = 729,990.36/925.63
  6. Step 6: Final answer
    x = 788.64

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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.