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Finding the Fourth Proportional to 1,264.88, 1,893.72 and 957.98

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Solution

The fourth proportional to 1,264.88, 1,893.72 and 957.98 is: 1,434.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,264.88 : 1,893.72 = 957.98 : x
  2. Step 2: Convert to fraction form
    1,264.88/1,893.72 = 957.98/x
  3. Step 3: Cross multiply
    1,264.88x = 1,893.72 × 957.98
  4. Step 4: Simplify right side
    1,264.88x = 1,814,145.89
  5. Step 5: Solve for x
    x = 1,814,145.89/1,264.88
  6. Step 6: Final answer
    x = 1,434.24

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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.