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Finding the Fourth Proportional to 699.10, 1,043.98 and 658.60

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Solution

The fourth proportional to 699.10, 1,043.98 and 658.60 is: 983.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    699.10 : 1,043.98 = 658.60 : x
  2. Step 2: Convert to fraction form
    699.10/1,043.98 = 658.60/x
  3. Step 3: Cross multiply
    699.10x = 1,043.98 × 658.60
  4. Step 4: Simplify right side
    699.10x = 687,560.97
  5. Step 5: Solve for x
    x = 687,560.97/699.10
  6. Step 6: Final answer
    x = 983.50

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.