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Finding the Fourth Proportional to 1,264.88, 1,897.56 and 399.32

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Solution

The fourth proportional to 1,264.88, 1,897.56 and 399.32 is: 599.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,264.88 : 1,897.56 = 399.32 : x
  2. Step 2: Convert to fraction form
    1,264.88/1,897.56 = 399.32/x
  3. Step 3: Cross multiply
    1,264.88x = 1,897.56 × 399.32
  4. Step 4: Simplify right side
    1,264.88x = 757,733.66
  5. Step 5: Solve for x
    x = 757,733.66/1,264.88
  6. Step 6: Final answer
    x = 599.06

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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.