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Finding the Fourth Proportional to 1,265.28, 1,897.68 and 399.60

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Solution

The fourth proportional to 1,265.28, 1,897.68 and 399.60 is: 599.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,265.28 : 1,897.68 = 399.60 : x
  2. Step 2: Convert to fraction form
    1,265.28/1,897.68 = 399.60/x
  3. Step 3: Cross multiply
    1,265.28x = 1,897.68 × 399.60
  4. Step 4: Simplify right side
    1,265.28x = 758,312.93
  5. Step 5: Solve for x
    x = 758,312.93/1,265.28
  6. Step 6: Final answer
    x = 599.32

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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.