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Finding the Fourth Proportional to 841.55, 1,162.70 and 665.84

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Solution

The fourth proportional to 841.55, 1,162.70 and 665.84 is: 919.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    841.55 : 1,162.70 = 665.84 : x
  2. Step 2: Convert to fraction form
    841.55/1,162.70 = 665.84/x
  3. Step 3: Cross multiply
    841.55x = 1,162.70 × 665.84
  4. Step 4: Simplify right side
    841.55x = 774,163.03
  5. Step 5: Solve for x
    x = 774,163.03/841.55
  6. Step 6: Final answer
    x = 919.93

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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.