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Finding the Fourth Proportional to 1,277.64, 1,761.98 and 946.89

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Solution

The fourth proportional to 1,277.64, 1,761.98 and 946.89 is: 1,305.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,277.64 : 1,761.98 = 946.89 : x
  2. Step 2: Convert to fraction form
    1,277.64/1,761.98 = 946.89/x
  3. Step 3: Cross multiply
    1,277.64x = 1,761.98 × 946.89
  4. Step 4: Simplify right side
    1,277.64x = 1,668,396.51
  5. Step 5: Solve for x
    x = 1,668,396.51/1,277.64
  6. Step 6: Final answer
    x = 1,305.84

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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.