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Finding the Fourth Proportional to 993.01, 1,489.75 and 343.75

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Solution

The fourth proportional to 993.01, 1,489.75 and 343.75 is: 515.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    993.01 : 1,489.75 = 343.75 : x
  2. Step 2: Convert to fraction form
    993.01/1,489.75 = 343.75/x
  3. Step 3: Cross multiply
    993.01x = 1,489.75 × 343.75
  4. Step 4: Simplify right side
    993.01x = 512,094.11
  5. Step 5: Solve for x
    x = 512,094.11/993.01
  6. Step 6: Final answer
    x = 515.70

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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.