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Finding the Fourth Proportional to 841.06, 1,160.46 and 716.50

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Solution

The fourth proportional to 841.06, 1,160.46 and 716.50 is: 988.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    841.06 : 1,160.46 = 716.50 : x
  2. Step 2: Convert to fraction form
    841.06/1,160.46 = 716.50/x
  3. Step 3: Cross multiply
    841.06x = 1,160.46 × 716.50
  4. Step 4: Simplify right side
    841.06x = 831,469.59
  5. Step 5: Solve for x
    x = 831,469.59/841.06
  6. Step 6: Final answer
    x = 988.60

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.