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Finding the Fourth Proportional to 699.60, 1,049.40 and 353.37

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Solution

The fourth proportional to 699.60, 1,049.40 and 353.37 is: 530.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    699.60 : 1,049.40 = 353.37 : x
  2. Step 2: Convert to fraction form
    699.60/1,049.40 = 353.37/x
  3. Step 3: Cross multiply
    699.60x = 1,049.40 × 353.37
  4. Step 4: Simplify right side
    699.60x = 370,821.23
  5. Step 5: Solve for x
    x = 370,821.23/699.60
  6. Step 6: Final answer
    x = 530.05

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.