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Finding the Fourth Proportional to 1,261.50, 1,739.98 and 841.72

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Solution

The fourth proportional to 1,261.50, 1,739.98 and 841.72 is: 1,160.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,261.50 : 1,739.98 = 841.72 : x
  2. Step 2: Convert to fraction form
    1,261.50/1,739.98 = 841.72/x
  3. Step 3: Cross multiply
    1,261.50x = 1,739.98 × 841.72
  4. Step 4: Simplify right side
    1,261.50x = 1,464,563.06
  5. Step 5: Solve for x
    x = 1,464,563.06/1,261.50
  6. Step 6: Final answer
    x = 1,160.97

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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.