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Finding the Fourth Proportional to 1,166.02, 1,747.80 and 841.21

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Solution

The fourth proportional to 1,166.02, 1,747.80 and 841.21 is: 1,260.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,166.02 : 1,747.80 = 841.21 : x
  2. Step 2: Convert to fraction form
    1,166.02/1,747.80 = 841.21/x
  3. Step 3: Cross multiply
    1,166.02x = 1,747.80 × 841.21
  4. Step 4: Simplify right side
    1,166.02x = 1,470,266.84
  5. Step 5: Solve for x
    x = 1,470,266.84/1,166.02
  6. Step 6: Final answer
    x = 1,260.93

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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.