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Finding the Fourth Proportional to 913, 1,369.40 and 425.74

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Solution

The fourth proportional to 913, 1,369.40 and 425.74 is: 638.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    913 : 1,369.40 = 425.74 : x
  2. Step 2: Convert to fraction form
    913/1,369.40 = 425.74/x
  3. Step 3: Cross multiply
    913x = 1,369.40 × 425.74
  4. Step 4: Simplify right side
    913x = 583,008.36
  5. Step 5: Solve for x
    x = 583,008.36/913
  6. Step 6: Final answer
    x = 638.56

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.